3252953255040 has 384 divisors, whose sum is σ = 11419109956800. Its totient is φ = 853113102336.

The previous prime is 3252953255033. The next prime is 3252953255051. The reversal of 3252953255040 is 405523592523.

3252953255040 is a `hidden beast` number, since 3 + 2 + 5 + 2 + 9 + 53 + 2 + 550 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 248140006 + ... + 248153114.

Almost surely, 2^{3252953255040} is an apocalyptic number.

3252953255040 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 3252953255040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5709554978400).

3252953255040 is an abundant number, since it is smaller than the sum of its proper divisors (8166156701760).

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

3252953255040 is a wasteful number, since it uses less digits than its factorization.

3252953255040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13844 (or 13829 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 45.

The spelling of 3252953255040 in words is "three trillion, two hundred fifty-two billion, nine hundred fifty-three million, two hundred fifty-five thousand, forty".