38877120 has 84 divisors (see below), whose sum is σ = 133731000. Its totient is φ = 10366464.

The previous prime is 38877103. The next prime is 38877127. The reversal of 38877120 is 2177883.

It is a super-2 number, since 2×38877120² = 3022860918988800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38877127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3870 + ... + 9629.

Almost surely, 2^38877120 is an apocalyptic number.

38877120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38877120 is an abundant number, since it is smaller than the sum of its proper divisors (94853880).

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

38877120 is a wasteful number, since it uses less digits than its factorization.

38877120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13522 (or 13509 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 38877120 is about 6235.1519628635. The cubic root of 38877120 is about 338.7646054259.

The spelling of 38877120 in words is "thirty-eight million, eight hundred seventy-seven thousand, one hundred twenty".