38504160 has 120 divisors (see below), whose sum is σ = 135933336. Its totient is φ = 10264320.

The previous prime is 38504149. The next prime is 38504171. The reversal of 38504160 is 6140583.

It is an interprime number because it is at equal distance from previous prime (38504149) and next prime (38504171).

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

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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11475 + ... + 14445.

Almost surely, 2^38504160 is an apocalyptic number.

38504160 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 38504160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67966668).

38504160 is an abundant number, since it is smaller than the sum of its proper divisors (97429176).

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

38504160 is a wasteful number, since it uses less digits than its factorization.

38504160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2998 (or 2981 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 38504160 is about 6205.1720362936. The cubic root of 38504160 is about 337.6778322079.

The spelling of 38504160 in words is "thirty-eight million, five hundred four thousand, one hundred sixty".