3642966800 has 120 divisors (see below), whose sum is σ = 9710405280. Its totient is φ = 1302169600.

The previous prime is 3642966763. The next prime is 3642966827. The reversal of 3642966800 is 86692463.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 252584 + ... + 266616.

It is an arithmetic number, because the mean of its divisors is an integer number (80920044).

Almost surely, 2^3642966800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3642966800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4855202640).

3642966800 is an abundant number, since it is smaller than the sum of its proper divisors (6067438480).

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

3642966800 is a wasteful number, since it uses less digits than its factorization.

3642966800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14121 (or 14110 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 44.

The square root of 3642966800 is about 60356.9946236557. The cubic root of 3642966800 is about 1538.6921487383.

The spelling of 3642966800 in words is "three billion, six hundred forty-two million, nine hundred sixty-six thousand, eight hundred".