3123664746640 has 40 divisors (see below), whose sum is σ = 7439655190968. Its totient is φ = 1218991119360.

The previous prime is 3123664746541. The next prime is 3123664746641. The reversal of 3123664746640 is 466474663213.

3123664746640 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 4 ways, for example, as 192433123584 + 2931231623056 = 438672^2 + 1712084^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (3123664746641) 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, 476165127 + ... + 476171686.

Almost surely, 2^{3123664746640} is an apocalyptic number.

It is an amenable number.

3123664746640 is an abundant number, since it is smaller than the sum of its proper divisors (4315990444328).

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

3123664746640 is a wasteful number, since it uses less digits than its factorization.

3123664746640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952336867 (or 952336861 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 52.

The spelling of 3123664746640 in words is "three trillion, one hundred twenty-three billion, six hundred sixty-four million, seven hundred forty-six thousand, six hundred forty".