3645248832 has 168 divisors, whose sum is σ = 11186436352. Its totient is φ = 1175731200.

The previous prime is 3645248759. The next prime is 3645248879. The reversal of 3645248832 is 2388425463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478332 + ... + 485892.

Almost surely, 2^3645248832 is an apocalyptic number.

3645248832 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 3645248832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5593218176).

3645248832 is an abundant number, since it is smaller than the sum of its proper divisors (7541187520).

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

3645248832 is an equidigital number, since it uses as much as digits as its factorization.

3645248832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7619 (or 7597 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 45.

The square root of 3645248832 is about 60375.8961175733. The cubic root of 3645248832 is about 1539.0133715195.

The spelling of 3645248832 in words is "three billion, six hundred forty-five million, two hundred forty-eight thousand, eight hundred thirty-two".