38618720 has 144 divisors (see below), whose sum is σ = 110623968. Its totient is φ = 12472320.

The previous prime is 38618719. The next prime is 38618729. The reversal of 38618720 is 2781683.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38618729) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 941900 + ... + 941940.

It is an arithmetic number, because the mean of its divisors is an integer number (768222).

Almost surely, 2^38618720 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 38618720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55311984).

38618720 is an abundant number, since it is smaller than the sum of its proper divisors (72005248).

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

38618720 is a wasteful number, since it uses less digits than its factorization.

38618720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 35.

The square root of 38618720 is about 6214.3961894942. The cubic root of 38618720 is about 338.0123940695.

The spelling of 38618720 in words is "thirty-eight million, six hundred eighteen thousand, seven hundred twenty".