38462920 has 64 divisors (see below), whose sum is σ = 90720000. Its totient is φ = 14661120.

The previous prime is 38462911. The next prime is 38462951. The reversal of 38462920 is 2926483.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76831 + ... + 77329.

It is an arithmetic number, because the mean of its divisors is an integer number (1417500).

Almost surely, 2^38462920 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 38462920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45360000).

38462920 is an abundant number, since it is smaller than the sum of its proper divisors (52257080).

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

38462920 is a wasteful number, since it uses less digits than its factorization.

38462920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The square root of 38462920 is about 6201.8481116519. The cubic root of 38462920 is about 337.5572321781.

The spelling of 38462920 in words is "thirty-eight million, four hundred sixty-two thousand, nine hundred twenty".