3246914474496 has 960 divisors, whose sum is σ = 12914589663360. Its totient is φ = 793714360320.

The previous prime is 3246914474471. The next prime is 3246914474533. The reversal of 3246914474496 is 6944744196423.

3246914474496 is a `hidden beast` number, since 3 + 2 + 4 + 69 + 1 + 447 + 44 + 96 = 666.

3246914474496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 126656496 + ... + 126682128.

It is an arithmetic number, because the mean of its divisors is an integer number (13452697566).

Almost surely, 2^{3246914474496} is an apocalyptic number.

3246914474496 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 3246914474496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457294831680).

3246914474496 is an abundant number, since it is smaller than the sum of its proper divisors (9667675188864).

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

3246914474496 is a wasteful number, since it uses less digits than its factorization.

3246914474496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25702 (or 25673 counting only the distinct ones).

The product of its digits is 125411328, while the sum is 63.

The spelling of 3246914474496 in words is "three trillion, two hundred forty-six billion, nine hundred fourteen million, four hundred seventy-four thousand, four hundred ninety-six".