3126629600640 has 2304 divisors, whose sum is σ = 14422387936320. Its totient is φ = 641102708736.

The previous prime is 3126629600617. The next prime is 3126629600669. The reversal of 3126629600640 is 460069266213.

3126629600640 is a `hidden beast` number, since 3 + 12 + 6 + 6 + 29 + 600 + 6 + 4 + 0 = 666.

It is a super-3 number, since 3×3126629600640³ (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3665450454 + ... + 3665451306.

Almost surely, 2^{3126629600640} is an apocalyptic number.

3126629600640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3126629600640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7211193968160).

3126629600640 is an abundant number, since it is smaller than the sum of its proper divisors (11295758335680).

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

3126629600640 is a wasteful number, since it uses less digits than its factorization.

3126629600640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 3126629600640 in words is "three trillion, one hundred twenty-six billion, six hundred twenty-nine million, six hundred thousand, six hundred forty".