38974080 has 128 divisors (see below), whose sum is σ = 126904320. Its totient is φ = 10170368.

The previous prime is 38974069. The next prime is 38974087. The reversal of 38974080 is 8047983.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38974087) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 101569 + ... + 101951.

It is an arithmetic number, because the mean of its divisors is an integer number (991440).

Almost surely, 2^38974080 is an apocalyptic number.

38974080 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 38974080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63452160).

38974080 is an abundant number, since it is smaller than the sum of its proper divisors (87930240).

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

38974080 is a wasteful number, since it uses less digits than its factorization.

38974080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 446 counting only the distinct ones).

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

The square root of 38974080 is about 6242.9223925979. The cubic root of 38974080 is about 339.0459992749.

The spelling of 38974080 in words is "thirty-eight million, nine hundred seventy-four thousand, eighty".