3126540116340 has 72 divisors (see below), whose sum is σ = 9516206562408. Its totient is φ = 830898474240.

The previous prime is 3126540116317. The next prime is 3126540116353. The reversal of 3126540116340 is 436110456213.

3126540116340 is a `hidden beast` number, since 3 + 1 + 2 + 6 + 5 + 4 + 0 + 11 + 634 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 209289780324 + 2917250336016 = 457482^2 + 1707996^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3126540116295 and 3126540116304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29588331 + ... + 29693810.

It is an arithmetic number, because the mean of its divisors is an integer number (132169535589).

Almost surely, 2^{3126540116340} is an apocalyptic number.

3126540116340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3126540116340 is an abundant number, since it is smaller than the sum of its proper divisors (6389666446068).

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

3126540116340 is a wasteful number, since it uses less digits than its factorization.

3126540116340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59282449 (or 59282444 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3126540116340 in words is "three trillion, one hundred twenty-six billion, five hundred forty million, one hundred sixteen thousand, three hundred forty".