3446713866240 has 1008 divisors, whose sum is σ = 13096651276800. Its totient is φ = 870067961856.

The previous prime is 3446713866227. The next prime is 3446713866263. The reversal of 3446713866240 is 426683176443.

3446713866240 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 7 + 1 + 3 + 8 + 6 + 624 + 0 = 666.

It is a super-2 number, since 2×3446713866240² (a number of 26 digits) contains 22 as substring.

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

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 2694849921 + ... + 2694851199.

It is an arithmetic number, because the mean of its divisors is an integer number (12992709600).

Almost surely, 2^{3446713866240} is an apocalyptic number.

3446713866240 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 3446713866240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6548325638400).

3446713866240 is an abundant number, since it is smaller than the sum of its proper divisors (9649937410560).

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

3446713866240 is an equidigital number, since it uses as much as digits as its factorization.

3446713866240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1362 (or 1308 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3446713866240 in words is "three trillion, four hundred forty-six billion, seven hundred thirteen million, eight hundred sixty-six thousand, two hundred forty".