38632140 has 72 divisors (see below), whose sum is σ = 121539600. Its totient is φ = 10300608.

The previous prime is 38632129. The next prime is 38632151. The reversal of 38632140 is 4123683.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (38632129) and next prime (38632151).

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 23 ways as a sum of consecutive naturals, for example, 886 + ... + 8834.

It is an arithmetic number, because the mean of its divisors is an integer number (1688050).

Almost surely, 2^38632140 is an apocalyptic number.

38632140 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 38632140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60769800).

38632140 is an abundant number, since it is smaller than the sum of its proper divisors (82907460).

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

38632140 is a wasteful number, since it uses less digits than its factorization.

38632140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7973 (or 7959 counting only the distinct ones).

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

The square root of 38632140 is about 6215.4758466267. The cubic root of 38632140 is about 338.0515426223.

The spelling of 38632140 in words is "thirty-eight million, six hundred thirty-two thousand, one hundred forty".