38672790 has 128 divisors (see below), whose sum is σ = 111767040. Its totient is φ = 8460288.

The previous prime is 38672759. The next prime is 38672797. The reversal of 38672790 is 9727683.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38672797) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 125817 + ... + 126123.

It is an arithmetic number, because the mean of its divisors is an integer number (873180).

Almost surely, 2^38672790 is an apocalyptic number.

38672790 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 38672790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55883520).

38672790 is an abundant number, since it is smaller than the sum of its proper divisors (73094250).

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

38672790 is a wasteful number, since it uses less digits than its factorization.

38672790 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366.

The product of its (nonzero) digits is 127008, while the sum is 42.

The square root of 38672790 is about 6218.7450502493. The cubic root of 38672790 is about 338.1700706853.

The spelling of 38672790 in words is "thirty-eight million, six hundred seventy-two thousand, seven hundred ninety".