3639364427376 has 320 divisors, whose sum is σ = 11173888000000. Its totient is φ = 1132157295360.

The previous prime is 3639364427357. The next prime is 3639364427449. The reversal of 3639364427376 is 6737244639363.

3639364427376 is a `hidden beast` number, since 3 + 63 + 93 + 64 + 427 + 3 + 7 + 6 = 666.

3639364427376 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45452625 + ... + 45532623.

It is an arithmetic number, because the mean of its divisors is an integer number (34918400000).

Almost surely, 2^{3639364427376} is an apocalyptic number.

3639364427376 is a gapful number since it is divisible by the number (36) 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 3639364427376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5586944000000).

3639364427376 is an abundant number, since it is smaller than the sum of its proper divisors (7534523572624).

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

3639364427376 is a wasteful number, since it uses less digits than its factorization.

3639364427376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80169 (or 80157 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 63.

The spelling of 3639364427376 in words is "three trillion, six hundred thirty-nine billion, three hundred sixty-four million, four hundred twenty-seven thousand, three hundred seventy-six".