3264874905600 has 2688 divisors, whose sum is σ = 15348250863360. Its totient is φ = 668860416000.

The previous prime is 3264874905583. The next prime is 3264874905623. The reversal of 3264874905600 is 65094784623.

3264874905600 is a `hidden beast` number, since 3 + 2 + 6 + 4 + 8 + 74 + 9 + 0 + 560 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a super-2 number, since 2×3264874905600² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 45984153565 + ... + 45984153635.

Almost surely, 2^{3264874905600} is an apocalyptic number.

3264874905600 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 3264874905600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7674125431680).

3264874905600 is an abundant number, since it is smaller than the sum of its proper divisors (12083375957760).

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

3264874905600 is an frugal number, since it uses more digits than its factorization.

3264874905600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 3264874905600 in words is "three trillion, two hundred sixty-four billion, eight hundred seventy-four million, nine hundred five thousand, six hundred".