3257257920 has 224 divisors, whose sum is σ = 12071835648. Its totient is φ = 728604672.

The previous prime is 3257257901. The next prime is 3257257921. The reversal of 3257257920 is 297527523.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3257257921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 310684 + ... + 320996.

Almost surely, 2^3257257920 is an apocalyptic number.

3257257920 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 3257257920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035917824).

3257257920 is an abundant number, since it is smaller than the sum of its proper divisors (8814577728).

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

3257257920 is a wasteful number, since it uses less digits than its factorization.

3257257920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10387 (or 10377 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 42.

The square root of 3257257920 is about 57072.3919246425. The cubic root of 3257257920 is about 1482.3498584851.

The spelling of 3257257920 in words is "three billion, two hundred fifty-seven million, two hundred fifty-seven thousand, nine hundred twenty".