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3285798912 = 21233113773
BaseRepresentation
bin1100001111011001…
…0101000000000000
322110222210212202000
43003312111000000
523212131031122
61302014024000
7144265554444
oct30366250000
98428725660
103285798912
1114368253a0
127784a8000
1340497c516
14232560824
151436ea0ac
hexc3d95000

3285798912 has 416 divisors, whose sum is σ = 11055884160. Its totient is φ = 955514880.

The previous prime is 3285798911. The next prime is 3285798959. The reversal of 3285798912 is 2198975823.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime divisors (126).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3285798911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 45010908 + ... + 45010980.

Almost surely, 23285798912 is an apocalyptic number.

3285798912 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3285798912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5527942080).

3285798912 is an abundant number, since it is smaller than the sum of its proper divisors (7770085248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3285798912 is a wasteful number, since it uses less digits than its factorization.

3285798912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 126 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The square root of 3285798912 is about 57321.8885941487. Note that the first 3 decimals coincide. The cubic root of 3285798912 is about 1486.6668600704. Note that the first 3 decimals are identical.

Subtracting from 3285798912 its reverse (2198975823), we obtain a square (1086823089 = 329672).

It can be divided in two parts, 32857 and 98912, that added together give a square (131769 = 3632).

The spelling of 3285798912 in words is "three billion, two hundred eighty-five million, seven hundred ninety-eight thousand, nine hundred twelve".