37842509025 has 36 divisors (see below), whose sum is σ = 69433329420. Its totient is φ = 19690406400.

The previous prime is 37842508993. The next prime is 37842509039. The reversal of 37842509025 is 52090524873.

37842509025 is a `hidden beast` number, since 378 + 4 + 250 + 9 + 0 + 25 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 18953854929 + 18888654096 = 137673^2 + 137436^2 .

It is not a de Polignac number, because 37842509025 - 2⁵ = 37842508993 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2041860 + ... + 2060309.

It is an arithmetic number, because the mean of its divisors is an integer number (1928703595).

Almost surely, 2^37842509025 is an apocalyptic number.

It is an amenable number.

37842509025 is a deficient number, since it is larger than the sum of its proper divisors (31590820395).

37842509025 is a wasteful number, since it uses less digits than its factorization.

37842509025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4102226 (or 4102218 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 37842509025 in words is "thirty-seven billion, eight hundred forty-two million, five hundred nine thousand, twenty-five".