38835120 has 80 divisors (see below), whose sum is σ = 121635072. Its totient is φ = 10248960.

The previous prime is 38835091. The next prime is 38835131. The reversal of 38835120 is 2153883.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 23935 + ... + 25505.

Almost surely, 2^38835120 is an apocalyptic number.

38835120 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 38835120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60817536).

38835120 is an abundant number, since it is smaller than the sum of its proper divisors (82799952).

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

38835120 is a wasteful number, since it uses less digits than its factorization.

38835120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1690 (or 1684 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 38835120 is about 6231.7830514228. The cubic root of 38835120 is about 338.6425692928.

The spelling of 38835120 in words is "thirty-eight million, eight hundred thirty-five thousand, one hundred twenty".