38132640 has 384 divisors, whose sum is σ = 165957120. Its totient is φ = 7962624.

The previous prime is 38132623. The next prime is 38132657. The reversal of 38132640 is 4623183.

It is a happy number.

38132640 is a `hidden beast` number, since 3 + 8 + 13 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (38132623) and next prime (38132657).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 393072 + ... + 393168.

It is an arithmetic number, because the mean of its divisors is an integer number (432180).

Almost surely, 2^38132640 is an apocalyptic number.

38132640 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 38132640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82978560).

38132640 is an abundant number, since it is smaller than the sum of its proper divisors (127824480).

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

38132640 is a wasteful number, since it uses less digits than its factorization.

38132640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 38132640 is about 6175.1631557393. The cubic root of 38132640 is about 336.5882552198.

The spelling of 38132640 in words is "thirty-eight million, one hundred thirty-two thousand, six hundred forty".