38113152 has 128 divisors (see below), whose sum is σ = 126316800. Its totient is φ = 9891840.

The previous prime is 38113123. The next prime is 38113177. The reversal of 38113152 is 25131183.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×38113152² = 2905224710750208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28924 + ... + 30212.

It is an arithmetic number, because the mean of its divisors is an integer number (986850).

Almost surely, 2^38113152 is an apocalyptic number.

38113152 is a gapful number since it is divisible by the number (32) 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 38113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63158400).

38113152 is an abundant number, since it is smaller than the sum of its proper divisors (88203648).

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

38113152 is a wasteful number, since it uses less digits than its factorization.

38113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1312 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 38113152 is about 6173.5850200674. The cubic root of 38113152 is about 336.5309067151.

It can be divided in two parts, 381131 and 52, that added together give a palindrome (381183).

The spelling of 38113152 in words is "thirty-eight million, one hundred thirteen thousand, one hundred fifty-two".