38490415920 has 400 divisors, whose sum is σ = 150548935680. Its totient is φ = 9029491200.

The previous prime is 38490415861. The next prime is 38490415961. The reversal of 38490415920 is 2951409483.

38490415920 is a `hidden beast` number, since 3 + 8 + 490 + 4 + 159 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 2200971 + ... + 2218389.

Almost surely, 2^38490415920 is an apocalyptic number.

38490415920 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 38490415920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75274467840).

38490415920 is an abundant number, since it is smaller than the sum of its proper divisors (112058519760).

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

38490415920 is a wasteful number, since it uses less digits than its factorization.

38490415920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17486 (or 17471 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 38490415920 in words is "thirty-eight billion, four hundred ninety million, four hundred fifteen thousand, nine hundred twenty".