38157504 has 224 divisors, whose sum is σ = 131673600. Its totient is φ = 9461760.

The previous prime is 38157487. The next prime is 38157563. The reversal of 38157504 is 40575183.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×38157504² = 2911990223020032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 428692 + ... + 428780.

Almost surely, 2^38157504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38157504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65836800).

38157504 is an abundant number, since it is smaller than the sum of its proper divisors (93516096).

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

38157504 is a wasteful number, since it uses less digits than its factorization.

38157504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 33.

The square root of 38157504 is about 6177.1760538291. The cubic root of 38157504 is about 336.6613956412.

The spelling of 38157504 in words is "thirty-eight million, one hundred fifty-seven thousand, five hundred four".