3688000734513 has 32 divisors (see below), whose sum is σ = 4991247539712. Its totient is φ = 2421974016000.

The previous prime is 3688000734497. The next prime is 3688000734557. The reversal of 3688000734513 is 3154370008863.

It is not a de Polignac number, because 3688000734513 - 2⁴ = 3688000734497 is a prime.

It is a super-3 number, since 3×3688000734513³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3688000734013) 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 31 ways as a sum of consecutive naturals, for example, 53993803 + ... + 54062063.

It is an arithmetic number, because the mean of its divisors is an integer number (155976485616).

Almost surely, 2^{3688000734513} is an apocalyptic number.

It is an amenable number.

3688000734513 is a deficient number, since it is larger than the sum of its proper divisors (1303246805199).

3688000734513 is a wasteful number, since it uses less digits than its factorization.

3688000734513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69225.

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 3688000734513 in words is "three trillion, six hundred eighty-eight billion, seven hundred thirty-four thousand, five hundred thirteen".