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3485196000 = 2532531113677
BaseRepresentation
bin1100111110111011…
…1101111011100000
322222220000022010100
43033232331323200
524114202233000
61333455502400
7152236451166
oct31756757340
98886008110
103485196000
111529336380
12813227a00
13437085270
14250c27236
15155e85a00
hexcfbbdee0

3485196000 has 576 divisors, whose sum is σ = 14552830656. Its totient is φ = 778752000.

The previous prime is 3485195999. The next prime is 3485196007. The reversal of 3485196000 is 6915843.

3485196000 is a `hidden beast` number, since 3 + 48 + 5 + 1 + 9 + 600 + 0 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3485196007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5147662 + ... + 5148338.

It is an arithmetic number, because the mean of its divisors is an integer number (25265331).

Almost surely, 23485196000 is an apocalyptic number.

3485196000 is a gapful number since it is divisible by the number (30) 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 3485196000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7276415328).

3485196000 is an abundant number, since it is smaller than the sum of its proper divisors (11067634656).

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

3485196000 is a wasteful number, since it uses less digits than its factorization.

3485196000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 3485196000 is about 59035.5486126791. The cubic root of 3485196000 is about 1516.1508100865.

The spelling of 3485196000 in words is "three billion, four hundred eighty-five million, one hundred ninety-six thousand".