3642668013300 has 288 divisors, whose sum is σ = 10890185900160. Its totient is φ = 939484569600.

The previous prime is 3642668013247. The next prime is 3642668013311. The reversal of 3642668013300 is 33108662463.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1704569832 + ... + 1704571968.

Almost surely, 2^{3642668013300} is an apocalyptic number.

3642668013300 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 3642668013300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5445092950080).

3642668013300 is an abundant number, since it is smaller than the sum of its proper divisors (7247517886860).

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

3642668013300 is a wasteful number, since it uses less digits than its factorization.

3642668013300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3331 (or 3324 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 42.

The spelling of 3642668013300 in words is "three trillion, six hundred forty-two billion, six hundred sixty-eight million, thirteen thousand, three hundred".