938038920 has 512 divisors, whose sum is σ = 3808788480. Its totient is φ = 179159040.

The previous prime is 938038919. The next prime is 938038961. The reversal of 938038920 is 29830839.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5754759 + ... + 5754921.

It is an arithmetic number, because the mean of its divisors is an integer number (7439040).

Almost surely, 2^938038920 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 938038920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1904394240).

938038920 is an abundant number, since it is smaller than the sum of its proper divisors (2870749560).

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

938038920 is a wasteful number, since it uses less digits than its factorization.

938038920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 938038920 is about 30627.4210471597. The cubic root of 938038920 is about 978.9044121879.

The spelling of 938038920 in words is "nine hundred thirty-eight million, thirty-eight thousand, nine hundred twenty".