38542032 has 60 divisors (see below), whose sum is σ = 113549280. Its totient is φ = 12170304.

The previous prime is 38542001. The next prime is 38542039. The reversal of 38542032 is 23024583.

It is a junction number, because it is equal to n+sod(n) for n = 38541987 and 38542005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38542039) 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, 4308 + ... + 9779.

It is an arithmetic number, because the mean of its divisors is an integer number (1892488).

Almost surely, 2^38542032 is an apocalyptic number.

It is an amenable number.

38542032 is an abundant number, since it is smaller than the sum of its proper divisors (75007248).

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

38542032 is a wasteful number, since it uses less digits than its factorization.

38542032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14120 (or 14111 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 38542032 is about 6208.2229341415. Note that the first 3 decimals coincide. The cubic root of 38542032 is about 337.7885072128.

It can be divided in two parts, 3854 and 2032, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 38542032 in words is "thirty-eight million, five hundred forty-two thousand, thirty-two".