38118960 has 120 divisors (see below), whose sum is σ = 139683024. Its totient is φ = 9239040.

The previous prime is 38118937. The next prime is 38118989. The reversal of 38118960 is 6981183.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×38118960² = 2906110222963200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5514 + ... + 10326.

Almost surely, 2^38118960 is an apocalyptic number.

38118960 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 38118960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69841512).

38118960 is an abundant number, since it is smaller than the sum of its proper divisors (101564064).

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

38118960 is a wasteful number, since it uses less digits than its factorization.

38118960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4843 (or 4834 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 38118960 is about 6174.0553933375. The cubic root of 38118960 is about 336.5480003090.

The spelling of 38118960 in words is "thirty-eight million, one hundred eighteen thousand, nine hundred sixty".