38113360 has 80 divisors (see below), whose sum is σ = 92203920. Its totient is φ = 14643200.

The previous prime is 38113321. The next prime is 38113363. The reversal of 38113360 is 6331183.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1098304 + 37015056 = 1048^2 + 6084^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38113363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 377310 + ... + 377410.

It is an arithmetic number, because the mean of its divisors is an integer number (1152549).

Almost surely, 2^38113360 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 38113360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46101960).

38113360 is an abundant number, since it is smaller than the sum of its proper divisors (54090560).

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

38113360 is a wasteful number, since it uses less digits than its factorization.

38113360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 25.

The square root of 38113360 is about 6173.6018660098. The cubic root of 38113360 is about 336.5315189124.

The spelling of 38113360 in words is "thirty-eight million, one hundred thirteen thousand, three hundred sixty".