38613120 has 384 divisors, whose sum is σ = 161274240. Its totient is φ = 7667712.

The previous prime is 38613109. The next prime is 38613121. The reversal of 38613120 is 2131683.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×38613120² = 2981946072268800, 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 not an unprimeable number, because it can be changed into a prime (38613121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2271352 + ... + 2271368.

It is an arithmetic number, because the mean of its divisors is an integer number (419985).

Almost surely, 2^38613120 is an apocalyptic number.

38613120 is a gapful number since it is divisible by the number (30) 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 38613120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80637120).

38613120 is an abundant number, since it is smaller than the sum of its proper divisors (122661120).

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

38613120 is a wasteful number, since it uses less digits than its factorization.

38613120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 38613120 is about 6213.9456064565. The cubic root of 38613120 is about 337.9960551808.

The spelling of 38613120 in words is "thirty-eight million, six hundred thirteen thousand, one hundred twenty".