38014080 has 128 divisors (see below), whose sum is σ = 130576320. Its totient is φ = 9351168.

The previous prime is 38014073. The next prime is 38014087. The reversal of 38014080 is 8041083.

It is an interprime number because it is at equal distance from previous prime (38014073) and next prime (38014087).

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 38014080.

It is not an unprimeable number, because it can be changed into a prime (38014087) 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, 24199 + ... + 25721.

Almost surely, 2^38014080 is an apocalyptic number.

38014080 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 38014080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65288160).

38014080 is an abundant number, since it is smaller than the sum of its proper divisors (92562240).

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

38014080 is a wasteful number, since it uses less digits than its factorization.

38014080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558 (or 1546 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 38014080 is about 6165.5559360045. Note that the first 3 decimals coincide. The cubic root of 38014080 is about 336.2390588978.

The spelling of 38014080 in words is "thirty-eight million, fourteen thousand, eighty".