3638727620400 has 240 divisors, whose sum is σ = 12343790803968. Its totient is φ = 913095168000.

The previous prime is 3638727620387. The next prime is 3638727620419. The reversal of 3638727620400 is 40267278363.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3638727620400.

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, 165453405 + ... + 165475395.

Almost surely, 2^{3638727620400} is an apocalyptic number.

3638727620400 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 3638727620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6171895401984).

3638727620400 is an abundant number, since it is smaller than the sum of its proper divisors (8705063183568).

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

3638727620400 is a wasteful number, since it uses less digits than its factorization.

3638727620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30140 (or 30129 counting only the distinct ones).

The product of its (nonzero) digits is 2032128, while the sum is 48.

The spelling of 3638727620400 in words is "three trillion, six hundred thirty-eight billion, seven hundred twenty-seven million, six hundred twenty thousand, four hundred".