37749004345 has 64 divisors (see below), whose sum is σ = 51606434880. Its totient is φ = 26310316032.

The previous prime is 37749004309. The next prime is 37749004351. The reversal of 37749004345 is 54340094773.

It can be written as a sum of positive squares in 32 ways, for example, as 34514579961 + 3234424384 = 185781^2 + 56872^2 .

It is not a de Polignac number, because 37749004345 - 2⁹ = 37749003833 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 37749004295 and 37749004304.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37264059 + ... + 37265071.

It is an arithmetic number, because the mean of its divisors is an integer number (806350545).

Almost surely, 2^37749004345 is an apocalyptic number.

It is an amenable number.

37749004345 is a deficient number, since it is larger than the sum of its proper divisors (13857430535).

37749004345 is a wasteful number, since it uses less digits than its factorization.

37749004345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1486.

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 37749004345 in words is "thirty-seven billion, seven hundred forty-nine million, four thousand, three hundred forty-five".