3257880960 has 128 divisors (see below), whose sum is σ = 10402408800. Its totient is φ = 867270656.

The previous prime is 3257880949. The next prime is 3257880979. The reversal of 3257880960 is 690887523.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×3257880960² = 21227576699061043200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1529176 + ... + 1531304.

Almost surely, 2^3257880960 is an apocalyptic number.

3257880960 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 3257880960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5201204400).

3257880960 is an abundant number, since it is smaller than the sum of its proper divisors (7144527840).

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

3257880960 is a wasteful number, since it uses less digits than its factorization.

3257880960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2948 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 48.

The square root of 3257880960 is about 57077.8499945469. The cubic root of 3257880960 is about 1482.4443658283. Note that the first 3 decimals are identical.

The spelling of 3257880960 in words is "three billion, two hundred fifty-seven million, eight hundred eighty thousand, nine hundred sixty".