38337840 has 80 divisors (see below), whose sum is σ = 132060000. Its totient is φ = 10222848.

The previous prime is 38337823. The next prime is 38337841. The reversal of 38337840 is 4873383.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a junction number, because it is equal to n+sod(n) for n = 38337795 and 38337804.

It is not an unprimeable number, because it can be changed into a prime (38337841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6715 + ... + 11034.

It is an arithmetic number, because the mean of its divisors is an integer number (1650750).

Almost surely, 2^38337840 is an apocalyptic number.

38337840 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

38337840 is an abundant number, since it is smaller than the sum of its proper divisors (93722160).

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

38337840 is a wasteful number, since it uses less digits than its factorization.

38337840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17771 (or 17759 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 38337840 is about 6191.7558091385. The cubic root of 38337840 is about 337.1909269224.

The spelling of 38337840 in words is "thirty-eight million, three hundred thirty-seven thousand, eight hundred forty".