3257456224 has 96 divisors (see below), whose sum is σ = 7510146336. Its totient is φ = 1374289920.

The previous prime is 3257456219. The next prime is 3257456269. The reversal of 3257456224 is 4226547523.

It is a happy number.

It is a super-2 number, since 2×3257456224² = 21222042102552676352, which contains 22 as substring.

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, 433104 + ... + 440560.

It is an arithmetic number, because the mean of its divisors is an integer number (78230691).

Almost surely, 2^3257456224 is an apocalyptic number.

3257456224 is a gapful number since it is divisible by the number (34) 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 3257456224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3755073168).

3257456224 is an abundant number, since it is smaller than the sum of its proper divisors (4252690112).

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

3257456224 is a wasteful number, since it uses less digits than its factorization.

3257456224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7568 (or 7560 counting only the distinct ones).

The product of its digits is 403200, while the sum is 40.

The square root of 3257456224 is about 57074.1292005406. The cubic root of 3257456224 is about 1482.3799400188.

The spelling of 3257456224 in words is "three billion, two hundred fifty-seven million, four hundred fifty-six thousand, two hundred twenty-four".