38901665894400 has 1053 divisors, whose sum is σ = 142877443680309. Its totient is φ = 10116708433920.

The previous prime is 38901665894389. The next prime is 38901665894401. The reversal of 38901665894400 is 449856610983.

The square root of 38901665894400 is 6237120.

It is a perfect power (a square), and thus also a powerful number.

38901665894400 is a `hidden beast` number, since 3 + 8 + 9 + 0 + 1 + 6 + 6 + 589 + 4 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 33561351622656 + 5340314271744 = 5793216^2 + 2310912^2 .

It is not an unprimeable number, because it can be changed into a prime (38901665894401) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 437097369556 + ... + 437097369644.

Almost surely, 2^{38901665894400} is an apocalyptic number.

38901665894400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

38901665894400 is the 6237120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38901665894400

38901665894400 is an abundant number, since it is smaller than the sum of its proper divisors (103975777785909).

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

38901665894400 is an frugal number, since it uses more digits than its factorization.

38901665894400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 38901665894400 in words is "thirty-eight trillion, nine hundred one billion, six hundred sixty-five million, eight hundred ninety-four thousand, four hundred".