38124540 has 96 divisors (see below), whose sum is σ = 125616960. Its totient is φ = 9566208.

The previous prime is 38124539. The next prime is 38124577. The reversal of 38124540 is 4542183.

38124540 is a `hidden beast` number, since 381 + 245 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 7104 + ... + 11256.

It is an arithmetic number, because the mean of its divisors is an integer number (1308510).

Almost surely, 2^38124540 is an apocalyptic number.

38124540 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 38124540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62808480).

38124540 is an abundant number, since it is smaller than the sum of its proper divisors (87492420).

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

38124540 is a wasteful number, since it uses less digits than its factorization.

38124540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4188 (or 4180 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 38124540 is about 6174.5072677907. The cubic root of 38124540 is about 336.5644212381.

The spelling of 38124540 in words is "thirty-eight million, one hundred twenty-four thousand, five hundred forty".