3642445891296 has 72 divisors (see below), whose sum is σ = 10407296698344. Its totient is φ = 1208394351360.

The previous prime is 3642445891277. The next prime is 3642445891349. The reversal of 3642445891296 is 6921985442463.

3642445891296 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 4 + 458 + 91 + 2 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×3642445891296² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29909331 + ... + 30030866.

It is an arithmetic number, because the mean of its divisors is an integer number (144545787477).

Almost surely, 2^{3642445891296} is an apocalyptic number.

3642445891296 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

3642445891296 is an abundant number, since it is smaller than the sum of its proper divisors (6764850807048).

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

3642445891296 is a wasteful number, since it uses less digits than its factorization.

3642445891296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59940424 (or 59940413 counting only the distinct ones).

The product of its digits is 89579520, while the sum is 63.

The spelling of 3642445891296 in words is "three trillion, six hundred forty-two billion, four hundred forty-five million, eight hundred ninety-one thousand, two hundred ninety-six".