3253155308928 has 384 divisors, whose sum is σ = 11180147580000. Its totient is φ = 928536182784.

The previous prime is 3253155308927. The next prime is 3253155308969. The reversal of 3253155308928 is 8298035513523.

It is a happy number.

3253155308928 is a `hidden beast` number, since 3 + 2 + 5 + 3 + 1 + 5 + 530 + 89 + 28 = 666.

3253155308928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3253155308928² (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 not an unprimeable number, because it can be changed into a prime (3253155308927) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 177632700 + ... + 177651012.

Almost surely, 2^{3253155308928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3253155308928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5590073790000).

3253155308928 is an abundant number, since it is smaller than the sum of its proper divisors (7926992271072).

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

3253155308928 is a wasteful number, since it uses less digits than its factorization.

3253155308928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19399 (or 19374 counting only the distinct ones).

The product of its (nonzero) digits is 7776000, while the sum is 54.

The spelling of 3253155308928 in words is "three trillion, two hundred fifty-three billion, one hundred fifty-five million, three hundred eight thousand, nine hundred twenty-eight".