3700364003667 has 48 divisors (see below), whose sum is σ = 5655495605760. Its totient is φ = 2324962797696.

The previous prime is 3700364003659. The next prime is 3700364003689. The reversal of 3700364003667 is 7663004630073.

It is not a de Polignac number, because 3700364003667 - 2³ = 3700364003659 is a prime.

It is a super-3 number, since 3×3700364003667³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3700364003267) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32638783 + ... + 32751959.

It is an arithmetic number, because the mean of its divisors is an integer number (117822825120).

Almost surely, 2^{3700364003667} is an apocalyptic number.

3700364003667 is a deficient number, since it is larger than the sum of its proper divisors (1955131602093).

3700364003667 is a wasteful number, since it uses less digits than its factorization.

3700364003667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114192 (or 114189 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 45.

The spelling of 3700364003667 in words is "three trillion, seven hundred billion, three hundred sixty-four million, three thousand, six hundred sixty-seven".