38342880 has 72 divisors (see below), whose sum is σ = 130849992. Its totient is φ = 10224384.

The previous prime is 38342867. The next prime is 38342897. The reversal of 38342880 is 8824383.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11874 + ... + 14753.

It is an arithmetic number, because the mean of its divisors is an integer number (1817361).

Almost surely, 2^38342880 is an apocalyptic number.

38342880 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38342880 is an abundant number, since it is smaller than the sum of its proper divisors (92507112).

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

38342880 is a wasteful number, since it uses less digits than its factorization.

38342880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26648 (or 26637 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 38342880 is about 6192.1627885578. The cubic root of 38342880 is about 337.2057022967.

The spelling of 38342880 in words is "thirty-eight million, three hundred forty-two thousand, eight hundred eighty".