38461632 has 56 divisors (see below), whose sum is σ = 111020352. Its totient is φ = 11654400.

The previous prime is 38461609. The next prime is 38461637. The reversal of 38461632 is 23616483.

It is a super-2 number, since 2×38461632² = 2958594272206848, which contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 38461593 and 38461602.

It is not an unprimeable number, because it can be changed into a prime (38461637) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6994 + ... + 11217.

Almost surely, 2^38461632 is an apocalyptic number.

38461632 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

38461632 is an abundant number, since it is smaller than the sum of its proper divisors (72558720).

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

38461632 is a wasteful number, since it uses less digits than its factorization.

38461632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18237 (or 18227 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The square root of 38461632 is about 6201.7442707677. The cubic root of 38461632 is about 337.5534642325.

It can be divided in two parts, 38461 and 632, that added together give a palindrome (39093).

The spelling of 38461632 in words is "thirty-eight million, four hundred sixty-one thousand, six hundred thirty-two".