3268473600 has 432 divisors, whose sum is σ = 12518698752. Its totient is φ = 735559680.

The previous prime is 3268473599. The next prime is 3268473617. The reversal of 3268473600 is 63748623.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11155054 + ... + 11155346.

Almost surely, 2^3268473600 is an apocalyptic number.

3268473600 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 3268473600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6259349376).

3268473600 is an abundant number, since it is smaller than the sum of its proper divisors (9250225152).

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

3268473600 is a wasteful number, since it uses less digits than its factorization.

3268473600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 412 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The square root of 3268473600 is about 57170.5658534180. The cubic root of 3268473600 is about 1484.0492956891.

The spelling of 3268473600 in words is "three billion, two hundred sixty-eight million, four hundred seventy-three thousand, six hundred".