38792820 has 96 divisors (see below), whose sum is σ = 120839040. Its totient is φ = 9218560.

The previous prime is 38792797. The next prime is 38792821. The reversal of 38792820 is 2829783.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38792821) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34426 + ... + 35534.

It is an arithmetic number, because the mean of its divisors is an integer number (1258740).

Almost surely, 2^38792820 is an apocalyptic number.

38792820 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 38792820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60419520).

38792820 is an abundant number, since it is smaller than the sum of its proper divisors (82046220).

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

38792820 is a wasteful number, since it uses less digits than its factorization.

38792820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1183 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 38792820 is about 6228.3882345275. The cubic root of 38792820 is about 338.5195725079.

The spelling of 38792820 in words is "thirty-eight million, seven hundred ninety-two thousand, eight hundred twenty".