38480640 has 144 divisors (see below), whose sum is σ = 134217216. Its totient is φ = 9318400.

The previous prime is 38480627. The next prime is 38480653. The reversal of 38480640 is 4608483.

It is an interprime number because it is at equal distance from previous prime (38480627) and next prime (38480653).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41785 + ... + 42695.

It is an arithmetic number, because the mean of its divisors is an integer number (932064).

Almost surely, 2^38480640 is an apocalyptic number.

38480640 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 38480640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67108608).

38480640 is an abundant number, since it is smaller than the sum of its proper divisors (95736576).

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

38480640 is a wasteful number, since it uses less digits than its factorization.

38480640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946 (or 932 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 38480640 is about 6203.2765535643. The cubic root of 38480640 is about 337.6090621468.

The spelling of 38480640 in words is "thirty-eight million, four hundred eighty thousand, six hundred forty".