3631979077632 has 560 divisors, whose sum is σ = 11770407373032. Its totient is φ = 1111511531520.

The previous prime is 3631979077631. The next prime is 3631979077651. The reversal of 3631979077632 is 2367709791363.

3631979077632 is a `hidden beast` number, since 363 + 1 + 97 + 90 + 7 + 76 + 32 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1589778026496 + 2042201051136 = 1260864^2 + 1429056^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3631979077632.

It is not an unprimeable number, because it can be changed into a prime (3631979077631) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 462491818 + ... + 462499670.

Almost surely, 2^{3631979077632} is an apocalyptic number.

3631979077632 is a gapful number since it is divisible by the number (32) 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 3631979077632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5885203686516).

3631979077632 is an abundant number, since it is smaller than the sum of its proper divisors (8138428295400).

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

3631979077632 is an equidigital number, since it uses as much as digits as its factorization.

3631979077632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7949 (or 7916 counting only the distinct ones).

The product of its (nonzero) digits is 54010152, while the sum is 63.

The spelling of 3631979077632 in words is "three trillion, six hundred thirty-one billion, nine hundred seventy-nine million, seventy-seven thousand, six hundred thirty-two".