3631506114096 has 800 divisors, whose sum is σ = 12619492300800. Its totient is φ = 986748272640.

The previous prime is 3631506114083. The next prime is 3631506114109. The reversal of 3631506114096 is 6904116051363.

3631506114096 is a `hidden beast` number, since 3 + 6 + 3 + 1 + 506 + 11 + 40 + 96 = 666.

It is an interprime number because it is at equal distance from previous prime (3631506114083) and next prime (3631506114109).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2438888520 + ... + 2438890008.

It is an arithmetic number, because the mean of its divisors is an integer number (15774365376).

Almost surely, 2^{3631506114096} is an apocalyptic number.

3631506114096 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 3631506114096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6309746150400).

3631506114096 is an abundant number, since it is smaller than the sum of its proper divisors (8987986186704).

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

3631506114096 is a wasteful number, since it uses less digits than its factorization.

3631506114096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1719 (or 1704 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 3631506114096 in words is "three trillion, six hundred thirty-one billion, five hundred six million, one hundred fourteen thousand, ninety-six".