3265472102400 has 756 divisors, whose sum is σ = 12150837655992. Its totient is φ = 870155550720.

The previous prime is 3265472102357. The next prime is 3265472102419. The reversal of 3265472102400 is 42012745623.

3265472102400 is a `hidden beast` number, since 3 + 2 + 6 + 547 + 2 + 102 + 4 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 2388786517 + ... + 2388787883.

It is an arithmetic number, because the mean of its divisors is an integer number (16072536582).

Almost surely, 2^{3265472102400} is an apocalyptic number.

3265472102400 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 3265472102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6075418827996).

3265472102400 is an abundant number, since it is smaller than the sum of its proper divisors (8885365553592).

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

3265472102400 is an frugal number, since it uses more digits than its factorization.

3265472102400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1429 (or 1377 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 3265472102400 in words is "three trillion, two hundred sixty-five billion, four hundred seventy-two million, one hundred two thousand, four hundred".