38356920 has 192 divisors, whose sum is σ = 147363840. Its totient is φ = 8467200.

The previous prime is 38356907. The next prime is 38356943. The reversal of 38356920 is 2965383.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 77875 + ... + 78365.

It is an arithmetic number, because the mean of its divisors is an integer number (767520).

Almost surely, 2^38356920 is an apocalyptic number.

38356920 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 38356920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73681920).

38356920 is an abundant number, since it is smaller than the sum of its proper divisors (109006920).

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

38356920 is a wasteful number, since it uses less digits than its factorization.

38356920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 38356920 is about 6193.2963759213. The cubic root of 38356920 is about 337.2468554419.

The spelling of 38356920 in words is "thirty-eight million, three hundred fifty-six thousand, nine hundred twenty".