3257251320960 has 1536 divisors, whose sum is σ = 15000270405120. Its totient is φ = 631701504000.

The previous prime is 3257251320937. The next prime is 3257251321021. The reversal of 3257251320960 is 690231527523.

3257251320960 is a `hidden beast` number, since 3 + 2 + 5 + 72 + 513 + 2 + 0 + 9 + 60 = 666.

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 191 ways as a sum of consecutive naturals, for example, 383156710 + ... + 383165210.

It is an arithmetic number, because the mean of its divisors is an integer number (9765801045).

Almost surely, 2^{3257251320960} is an apocalyptic number.

3257251320960 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 3257251320960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7500135202560).

3257251320960 is an abundant number, since it is smaller than the sum of its proper divisors (11743019084160).

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

3257251320960 is a wasteful number, since it uses less digits than its factorization.

3257251320960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8606 (or 8591 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 3257251320960 in words is "three trillion, two hundred fifty-seven billion, two hundred fifty-one million, three hundred twenty thousand, nine hundred sixty".