3496264404480 has 1120 divisors, whose sum is σ = 12940535725920. Its totient is φ = 905191096320.

The previous prime is 3496264404473. The next prime is 3496264404509. The reversal of 3496264404480 is 844044626943.

It is a happy number.

3496264404480 is a `hidden beast` number, since 3 + 4 + 9 + 62 + 64 + 40 + 4 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 12442221940 + ... + 12442222220.

Almost surely, 2^{3496264404480} is an apocalyptic number.

3496264404480 is a gapful number since it is divisible by the number (30) 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 3496264404480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6470267862960).

3496264404480 is an abundant number, since it is smaller than the sum of its proper divisors (9444271321440).

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

3496264404480 is an equidigital number, since it uses as much as digits as its factorization.

3496264404480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 54.

The spelling of 3496264404480 in words is "three trillion, four hundred ninety-six billion, two hundred sixty-four million, four hundred four thousand, four hundred eighty".