38074080 has 96 divisors (see below), whose sum is σ = 130854528. Its totient is φ = 9228800.

The previous prime is 38074079. The next prime is 38074093. The reversal of 38074080 is 8047083.

It is a tau number, because it is divible by the number of its divisors (96).

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

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, 1675 + ... + 8885.

It is an arithmetic number, because the mean of its divisors is an integer number (1363068).

Almost surely, 2^38074080 is an apocalyptic number.

38074080 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 38074080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65427264).

38074080 is an abundant number, since it is smaller than the sum of its proper divisors (92780448).

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

38074080 is a wasteful number, since it uses less digits than its factorization.

38074080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7240 (or 7232 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 38074080 is about 6170.4197588171. The cubic root of 38074080 is about 336.4158682861.

It can be divided in two parts, 3807 and 4080, that added together give a palindrome (7887).

The spelling of 38074080 in words is "thirty-eight million, seventy-four thousand, eighty".