38125560 has 128 divisors (see below), whose sum is σ = 132192000. Its totient is φ = 8693760.

The previous prime is 38125547. The next prime is 38125561. The reversal of 38125560 is 6552183.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38125561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21591 + ... + 23289.

It is an arithmetic number, because the mean of its divisors is an integer number (1032750).

Almost surely, 2^38125560 is an apocalyptic number.

38125560 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 38125560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66096000).

38125560 is an abundant number, since it is smaller than the sum of its proper divisors (94066440).

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

38125560 is a wasteful number, since it uses less digits than its factorization.

38125560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1741 (or 1737 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 38125560 is about 6174.5898649222. The cubic root of 38125560 is about 336.5674227401.

The spelling of 38125560 in words is "thirty-eight million, one hundred twenty-five thousand, five hundred sixty".