3496087732896 has 384 divisors, whose sum is σ = 11213166182400. Its totient is φ = 1050952320000.

The previous prime is 3496087732849. The next prime is 3496087732897. The reversal of 3496087732896 is 6982377806943.

3496087732896 is a `hidden beast` number, since 3 + 4 + 9 + 608 + 7 + 7 + 3 + 2 + 8 + 9 + 6 = 666.

It is a super-2 number, since 2×3496087732896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (3496087732897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 706135221 + ... + 706140171.

It is an arithmetic number, because the mean of its divisors is an integer number (29200953600).

Almost surely, 2^{3496087732896} is an apocalyptic number.

3496087732896 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 3496087732896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5606583091200).

3496087732896 is an abundant number, since it is smaller than the sum of its proper divisors (7717078449504).

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

3496087732896 is a wasteful number, since it uses less digits than its factorization.

3496087732896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5561 (or 5547 counting only the distinct ones).

The product of its (nonzero) digits is 658409472, while the sum is 72.

The spelling of 3496087732896 in words is "three trillion, four hundred ninety-six billion, eighty-seven million, seven hundred thirty-two thousand, eight hundred ninety-six".