36975042 has 80 divisors (see below), whose sum is σ = 90642552. Its totient is φ = 11197440.

The previous prime is 36975031. The next prime is 36975047. The reversal of 36975042 is 24057963.

It can be written as a sum of positive squares in 4 ways, for example, as 12383361 + 24591681 = 3519^2 + 4959^2 .

It is a junction number, because it is equal to n+sod(n) for n = 36974988 and 36975006.

It is not an unprimeable number, because it can be changed into a prime (36975047) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 204192 + ... + 204372.

Almost surely, 2^36975042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36975042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45321276).

36975042 is an abundant number, since it is smaller than the sum of its proper divisors (53667510).

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

36975042 is a wasteful number, since it uses less digits than its factorization.

36975042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 36975042 is about 6080.7106492580. The cubic root of 36975042 is about 333.1472443542.

The spelling of 36975042 in words is "thirty-six million, nine hundred seventy-five thousand, forty-two".