3325577472 has 324 divisors, whose sum is σ = 11577632976. Its totient is φ = 949294080.

The previous prime is 3325577461. The next prime is 3325577477. The reversal of 3325577472 is 2747755233.

It is a happy number.

3325577472 is a `hidden beast` number, since 3 + 3 + 2 + 5 + 577 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (324).

It is a super-2 number, since 2×3325577472² = 22118931044547821568, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3325577477) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3047647 + ... + 3048737.

Almost surely, 2^3325577472 is an apocalyptic number.

3325577472 is a gapful number since it is divisible by the number (32) 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 3325577472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5788816488).

3325577472 is an abundant number, since it is smaller than the sum of its proper divisors (8252055504).

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

3325577472 is an equidigital number, since it uses as much as digits as its factorization.

3325577472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1136 (or 1103 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 45.

The square root of 3325577472 is about 57667.8200732436. The cubic root of 3325577472 is about 1492.6421106571.

The spelling of 3325577472 in words is "three billion, three hundred twenty-five million, five hundred seventy-seven thousand, four hundred seventy-two".