38478720 has 192 divisors, whose sum is σ = 143024400. Its totient is φ = 8773632.

The previous prime is 38478707. The next prime is 38478721. The reversal of 38478720 is 2787483.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×38478720² = 2961223785676800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38478721) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93876 + ... + 94284.

Almost surely, 2^38478720 is an apocalyptic number.

38478720 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 38478720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71512200).

38478720 is an abundant number, since it is smaller than the sum of its proper divisors (104545680).

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

38478720 is a wasteful number, since it uses less digits than its factorization.

38478720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 38478720 is about 6203.1217947095. The cubic root of 38478720 is about 337.6034470272.

The spelling of 38478720 in words is "thirty-eight million, four hundred seventy-eight thousand, seven hundred twenty".