37830206745 has 48 divisors (see below), whose sum is σ = 66140802000. Its totient is φ = 20001738240.

The previous prime is 37830206699. The next prime is 37830206759. The reversal of 37830206745 is 54760203873.

37830206745 is a `hidden beast` number, since 378 + 3 + 0 + 206 + 74 + 5 = 666.

37830206745 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 345744 + 37829861001 = 588^2 + 194499^2 .

It is not a de Polignac number, because 37830206745 - 2⁶ = 37830206681 is a prime.

It is a super-2 number, since 2×37830206745² (a number of 22 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 37830206745.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3622191 + ... + 3632619.

It is an arithmetic number, because the mean of its divisors is an integer number (1377933375).

Almost surely, 2^37830206745 is an apocalyptic number.

It is an amenable number.

37830206745 is a deficient number, since it is larger than the sum of its proper divisors (28310595255).

37830206745 is a wasteful number, since it uses less digits than its factorization.

37830206745 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11130 (or 11127 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The spelling of 37830206745 in words is "thirty-seven billion, eight hundred thirty million, two hundred six thousand, seven hundred forty-five".