3828641200 has 60 divisors (see below), whose sum is σ = 9204542568. Its totient is φ = 1530419200.

The previous prime is 3828641191. The next prime is 3828641237. The reversal of 3828641200 is 21468283.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 907095 + ... + 911305.

Almost surely, 2^3828641200 is an apocalyptic number.

It is an amenable number.

3828641200 is an abundant number, since it is smaller than the sum of its proper divisors (5375901368).

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

3828641200 is a wasteful number, since it uses less digits than its factorization.

3828641200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6502 (or 6491 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 34.

The square root of 3828641200 is about 61876.0147391540. The cubic root of 3828641200 is about 1564.4014968595.

The spelling of 3828641200 in words is "three billion, eight hundred twenty-eight million, six hundred forty-one thousand, two hundred".