38140032 has 96 divisors (see below), whose sum is σ = 117907920. Its totient is φ = 10891776.

The previous prime is 38140031. The next prime is 38140051. The reversal of 38140032 is 23004183.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×38140032² = 2909324081922048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 38139990 and 38140008.

It is not an unprimeable number, because it can be changed into a prime (38140031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17803 + ... + 19829.

Almost surely, 2^38140032 is an apocalyptic number.

38140032 is a gapful number since it is divisible by the number (32) 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 38140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58953960).

38140032 is an abundant number, since it is smaller than the sum of its proper divisors (79767888).

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

38140032 is a wasteful number, since it uses less digits than its factorization.

38140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058 (or 2039 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 38140032 is about 6175.7616534319. The cubic root of 38140032 is about 336.6100029896.

The spelling of 38140032 in words is "thirty-eight million, one hundred forty thousand, thirty-two".