38055960 has 128 divisors (see below), whose sum is σ = 128217600. Its totient is φ = 10039680.

The previous prime is 38055949. The next prime is 38055971. The reversal of 38055960 is 6955083.

It is an interprime number because it is at equal distance from previous prime (38055949) and next prime (38055971).

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 31 ways as a sum of consecutive naturals, for example, 180255 + ... + 180465.

It is an arithmetic number, because the mean of its divisors is an integer number (1001700).

Almost surely, 2^38055960 is an apocalyptic number.

38055960 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 38055960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64108800).

38055960 is an abundant number, since it is smaller than the sum of its proper divisors (90161640).

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

38055960 is a wasteful number, since it uses less digits than its factorization.

38055960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 388 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 38055960 is about 6168.9512885093. The cubic root of 38055960 is about 336.3624914409.

Subtracting from 38055960 its product of nonzero digits (32400), we obtain a triangular number (38023560 = T₈₇₂₀).

The spelling of 38055960 in words is "thirty-eight million, fifty-five thousand, nine hundred sixty".