3672730912640 has 64 divisors (see below), whose sum is σ = 8781525429120. Its totient is φ = 1468857600000.

The previous prime is 3672730912621. The next prime is 3672730912649. The reversal of 3672730912640 is 462190372763.

3672730912640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×3672730912640² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3672730912649) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3577265 + ... + 4488015.

It is an arithmetic number, because the mean of its divisors is an integer number (137211334830).

Almost surely, 2^{3672730912640} is an apocalyptic number.

It is an amenable number.

3672730912640 is an abundant number, since it is smaller than the sum of its proper divisors (5108794516480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3672730912640 is an equidigital number, since it uses as much as digits as its factorization.

3672730912640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 917071 (or 917059 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 50.

The spelling of 3672730912640 in words is "three trillion, six hundred seventy-two billion, seven hundred thirty million, nine hundred twelve thousand, six hundred forty".