38929680 has 160 divisors (see below), whose sum is σ = 136598400. Its totient is φ = 10188288.

The previous prime is 38929669. The next prime is 38929697. The reversal of 38929680 is 8692983.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 144586 + ... + 144854.

It is an arithmetic number, because the mean of its divisors is an integer number (853740).

Almost surely, 2^38929680 is an apocalyptic number.

38929680 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 38929680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68299200).

38929680 is an abundant number, since it is smaller than the sum of its proper divisors (97668720).

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

38929680 is a wasteful number, since it uses less digits than its factorization.

38929680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 38929680 is about 6239.3653523415. The cubic root of 38929680 is about 338.9172011741.

It can be divided in two parts, 389296 and 80, that added together give a square (389376 = 624²).

The spelling of 38929680 in words is "thirty-eight million, nine hundred twenty-nine thousand, six hundred eighty".