38179680 has 192 divisors, whose sum is σ = 150087168. Its totient is φ = 7925760.

The previous prime is 38179643. The next prime is 38179697. The reversal of 38179680 is 8697183.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36444 + ... + 37476.

It is an arithmetic number, because the mean of its divisors is an integer number (781704).

Almost surely, 2^38179680 is an apocalyptic number.

38179680 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 38179680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75043584).

38179680 is an abundant number, since it is smaller than the sum of its proper divisors (111907488).

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

38179680 is a wasteful number, since it uses less digits than its factorization.

38179680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1069 (or 1061 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 38179680 is about 6178.9707880844. The cubic root of 38179680 is about 336.7266021886.

The spelling of 38179680 in words is "thirty-eight million, one hundred seventy-nine thousand, six hundred eighty".