38037120 has 128 divisors (see below), whose sum is σ = 132338880. Its totient is φ = 9216000.

The previous prime is 38037113. The next prime is 38037121. The reversal of 38037120 is 2173083.

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

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 (38037121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20220 + ... + 22020.

Almost surely, 2^38037120 is an apocalyptic number.

38037120 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 38037120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66169440).

38037120 is an abundant number, since it is smaller than the sum of its proper divisors (94301760).

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

38037120 is a wasteful number, since it uses less digits than its factorization.

38037120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1834 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 24.

The square root of 38037120 is about 6167.4240976278. The cubic root of 38037120 is about 336.3069756919.

The spelling of 38037120 in words is "thirty-eight million, thirty-seven thousand, one hundred twenty".