3496413798432 has 72 divisors (see below), whose sum is σ = 10000400446764. Its totient is φ = 1158734421504.

The previous prime is 3496413798413. The next prime is 3496413798467. The reversal of 3496413798432 is 2348973146943.

It is a happy number.

3496413798432 is a `hidden beast` number, since 3 + 4 + 9 + 64 + 137 + 9 + 8 + 432 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3491680908816 + 4732889616 = 1868604^2 + 68796^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 3496413798432.

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, 35037823 + ... + 35137470.

Almost surely, 2^{3496413798432} is an apocalyptic number.

3496413798432 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3496413798432 is an abundant number, since it is smaller than the sum of its proper divisors (6503986648332).

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

3496413798432 is a wasteful number, since it uses less digits than its factorization.

3496413798432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70175482 (or 70175471 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 3496413798432 in words is "three trillion, four hundred ninety-six billion, four hundred thirteen million, seven hundred ninety-eight thousand, four hundred thirty-two".