3496407505920 has 2112 divisors, whose sum is σ = 15866253112320. Its totient is φ = 692557185024.

The previous prime is 3496407505889. The next prime is 3496407505949. The reversal of 3496407505920 is 295057046943.

3496407505920 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 40 + 7 + 5 + 0 + 592 + 0 = 666.

It is a super-3 number, since 3×3496407505920³ (a number of 39 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3854914107 + ... + 3854915013.

Almost surely, 2^{3496407505920} is an apocalyptic number.

3496407505920 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 3496407505920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7933126556160).

3496407505920 is an abundant number, since it is smaller than the sum of its proper divisors (12369845606400).

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

3496407505920 is a wasteful number, since it uses less digits than its factorization.

3496407505920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 54.

The spelling of 3496407505920 in words is "three trillion, four hundred ninety-six billion, four hundred seven million, five hundred five thousand, nine hundred twenty".