3496354557696 has 2304 divisors, whose sum is σ = 14684211118080. Its totient is φ = 790927441920.

The previous prime is 3496354557679. The next prime is 3496354557697. The reversal of 3496354557696 is 6967554536943.

3496354557696 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 3 + 5 + 4 + 557 + 69 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3496354557697) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 20210141866 + ... + 20210142038.

It is an arithmetic number, because the mean of its divisors is an integer number (6373355520).

Almost surely, 2^{3496354557696} is an apocalyptic number.

3496354557696 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 3496354557696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7342105559040).

3496354557696 is an abundant number, since it is smaller than the sum of its proper divisors (11187856560384).

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

3496354557696 is a wasteful number, since it uses less digits than its factorization.

3496354557696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 359 counting only the distinct ones).

The product of its digits is 2204496000, while the sum is 72.

The spelling of 3496354557696 in words is "three trillion, four hundred ninety-six billion, three hundred fifty-four million, five hundred fifty-seven thousand, six hundred ninety-six".