38913120 has 144 divisors (see below), whose sum is σ = 135272592. Its totient is φ = 10183680.

The previous prime is 38913113. The next prime is 38913137. The reversal of 38913120 is 2131983.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 87619 + ... + 88061.

It is an arithmetic number, because the mean of its divisors is an integer number (939393).

Almost surely, 2^38913120 is an apocalyptic number.

38913120 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 38913120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67636296).

38913120 is an abundant number, since it is smaller than the sum of its proper divisors (96359472).

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

38913120 is a wasteful number, since it uses less digits than its factorization.

38913120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 525 (or 514 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 38913120 is about 6238.0381531376. The cubic root of 38913120 is about 338.8691378896.

The spelling of 38913120 in words is "thirty-eight million, nine hundred thirteen thousand, one hundred twenty".