38365104 has 160 divisors (see below), whose sum is σ = 114278400. Its totient is φ = 11024640.

The previous prime is 38365097. The next prime is 38365111. The reversal of 38365104 is 40156383.

It is an interprime number because it is at equal distance from previous prime (38365097) and next prime (38365111).

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, 650227 + ... + 650285.

It is an arithmetic number, because the mean of its divisors is an integer number (714240).

Almost surely, 2^38365104 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 38365104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57139200).

38365104 is an abundant number, since it is smaller than the sum of its proper divisors (75913296).

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

38365104 is a wasteful number, since it uses less digits than its factorization.

38365104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 38365104 is about 6193.9570550658. The cubic root of 38365104 is about 337.2708392236.

The spelling of 38365104 in words is "thirty-eight million, three hundred sixty-five thousand, one hundred four".