38981152 has 48 divisors (see below), whose sum is σ = 88627392. Its totient is φ = 16531200.

The previous prime is 38981149. The next prime is 38981161. The reversal of 38981152 is 25118983.

It is a super-2 number, since 2×38981152² = 3039060422494208, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21763 + ... + 23485.

It is an arithmetic number, because the mean of its divisors is an integer number (1846404).

Almost surely, 2^38981152 is an apocalyptic number.

38981152 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 38981152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44313696).

38981152 is an abundant number, since it is smaller than the sum of its proper divisors (49646240).

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

38981152 is a wasteful number, since it uses less digits than its factorization.

38981152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1841 (or 1833 counting only the distinct ones).

The product of its digits is 17280, while the sum is 37.

The square root of 38981152 is about 6243.4887683089. The cubic root of 38981152 is about 339.0665051110.

It can be divided in two parts, 3898 and 1152, that added together give a triangular number (5050 = T₁₀₀).

The spelling of 38981152 in words is "thirty-eight million, nine hundred eighty-one thousand, one hundred fifty-two".