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3325795200 = 27355271347
BaseRepresentation
bin1100011000111011…
…1001101110000000
322120210001220100000
43012032321232000
523302400421300
61310003200000
7145262535630
oct30616715600
98523056300
103325795200
111457363182
12789976000
13410044470
142379b26c0
15146e9ac00
hexc63b9b80

3325795200 has 1152 divisors, whose sum is σ = 15469009920. Its totient is φ = 686776320.

The previous prime is 3325795181. The next prime is 3325795201. The reversal of 3325795200 is 25975233.

3325795200 is a `hidden beast` number, since 3 + 32 + 579 + 52 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×33257952002 = 22121827424686080000, which contains 22 as substring.

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 (3325795201) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 70761577 + ... + 70761623.

It is an arithmetic number, because the mean of its divisors is an integer number (13427960).

Almost surely, 23325795200 is an apocalyptic number.

3325795200 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 3325795200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7734504960).

3325795200 is an abundant number, since it is smaller than the sum of its proper divisors (12143214720).

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

3325795200 is a wasteful number, since it uses less digits than its factorization.

3325795200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 36.

The square root of 3325795200 is about 57669.7078196171. The cubic root of 3325795200 is about 1492.6746847380.

The spelling of 3325795200 in words is "three billion, three hundred twenty-five million, seven hundred ninety-five thousand, two hundred".