38094480 has 120 divisors (see below), whose sum is σ = 129130872. Its totient is φ = 10063872.

The previous prime is 38094457. The next prime is 38094491. The reversal of 38094480 is 8449083.

It can be written as a sum of positive squares in 4 ways, for example, as 345744 + 37748736 = 588^2 + 6144^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112872 + ... + 113208.

Almost surely, 2^38094480 is an apocalyptic number.

38094480 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 38094480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64565436).

38094480 is an abundant number, since it is smaller than the sum of its proper divisors (91036392).

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

38094480 is a wasteful number, since it uses less digits than its factorization.

38094480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 38094480 is about 6172.0725854449. The cubic root of 38094480 is about 336.4759411613.

The spelling of 38094480 in words is "thirty-eight million, ninety-four thousand, four hundred eighty".