3258751620096 has 1056 divisors, whose sum is σ = 11546404490880. Its totient is φ = 904968142848.

The previous prime is 3258751620079. The next prime is 3258751620101. The reversal of 3258751620096 is 6900261578523.

3258751620096 is a `hidden beast` number, since 3 + 2 + 5 + 8 + 7 + 5 + 1 + 620 + 0 + 9 + 6 = 666.

3258751620096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3258751620096² (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 95 ways as a sum of consecutive naturals, for example, 8208442170 + ... + 8208442566.

Almost surely, 2^{3258751620096} is an apocalyptic number.

3258751620096 is a gapful number since it is divisible by the number (36) 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 3258751620096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5773202245440).

3258751620096 is an abundant number, since it is smaller than the sum of its proper divisors (8287652870784).

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

3258751620096 is a wasteful number, since it uses less digits than its factorization.

3258751620096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 565 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3258751620096 in words is "three trillion, two hundred fifty-eight billion, seven hundred fifty-one million, six hundred twenty thousand, ninety-six".