38972120 has 64 divisors (see below), whose sum is σ = 99843840. Its totient is φ = 13552000.

The previous prime is 38972117. The next prime is 38972161. The reversal of 38972120 is 2127983.

It is a super-2 number, since 2×38972120² = 3037652274588800, which contains 22 as substring.

It is a congruent number.

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, 8195 + ... + 12045.

It is an arithmetic number, because the mean of its divisors is an integer number (1560060).

Almost surely, 2^38972120 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 38972120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49921920).

38972120 is an abundant number, since it is smaller than the sum of its proper divisors (60871720).

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

38972120 is a wasteful number, since it uses less digits than its factorization.

38972120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3896 (or 3892 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 32.

The square root of 38972120 is about 6242.7654128599. The cubic root of 38972120 is about 339.0403156573.

The spelling of 38972120 in words is "thirty-eight million, nine hundred seventy-two thousand, one hundred twenty".