38113824 has 96 divisors (see below), whose sum is σ = 117089280. Its totient is φ = 10628352.

The previous prime is 38113807. The next prime is 38113841. The reversal of 38113824 is 42831183.

It is an interprime number because it is at equal distance from previous prime (38113807) and next prime (38113841).

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38113791 and 38113800.

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, 28237 + ... + 29555.

It is an arithmetic number, because the mean of its divisors is an integer number (1219680).

Almost surely, 2^38113824 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 38113824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58544640).

38113824 is an abundant number, since it is smaller than the sum of its proper divisors (78975456).

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

38113824 is a wasteful number, since it uses less digits than its factorization.

38113824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1374 counting only the distinct ones).

The product of its digits is 4608, while the sum is 30.

The square root of 38113824 is about 6173.6394452543. The cubic root of 38113824 is about 336.5328845751.

The spelling of 38113824 in words is "thirty-eight million, one hundred thirteen thousand, eight hundred twenty-four".