38797824 has 160 divisors (see below), whose sum is σ = 116867520. Its totient is φ = 11354112.

The previous prime is 38797813. The next prime is 38797831. The reversal of 38797824 is 42879783.

It is a super-2 number, since 2×38797824² = 3010542294269952, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 579039 + ... + 579105.

It is an arithmetic number, because the mean of its divisors is an integer number (730422).

Almost surely, 2^38797824 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 38797824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58433760).

38797824 is an abundant number, since it is smaller than the sum of its proper divisors (78069696).

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

38797824 is a wasteful number, since it uses less digits than its factorization.

38797824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 114 counting only the distinct ones).

The product of its digits is 677376, while the sum is 48.

The square root of 38797824 is about 6228.7899306366. The cubic root of 38797824 is about 338.5341274273.

It can be divided in two parts, 38797 and 824, that added together give a triangular number (39621 = T₂₈₁).

The spelling of 38797824 in words is "thirty-eight million, seven hundred ninety-seven thousand, eight hundred twenty-four".