38877360 has 80 divisors (see below), whose sum is σ = 125777664. Its totient is φ = 9915136.

The previous prime is 38877347. The next prime is 38877361. The reversal of 38877360 is 6377883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×38877360² = 3022898241139200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (38877361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1999 + ... + 9041.

Almost surely, 2^38877360 is an apocalyptic number.

38877360 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 38877360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62888832).

38877360 is an abundant number, since it is smaller than the sum of its proper divisors (86900304).

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

38877360 is a wasteful number, since it uses less digits than its factorization.

38877360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7082 (or 7076 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 38877360 is about 6235.1712085555. The cubic root of 38877360 is about 338.7653025226.

The spelling of 38877360 in words is "thirty-eight million, eight hundred seventy-seven thousand, three hundred sixty".