3450082761216 has 800 divisors, whose sum is σ = 12791755025280. Its totient is φ = 901456625664.

The previous prime is 3450082761197. The next prime is 3450082761227. The reversal of 3450082761216 is 6121672800543.

3450082761216 is a `hidden beast` number, since 3 + 4 + 5 + 0 + 0 + 8 + 27 + 612 + 1 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 411356575 + ... + 411364961.

Almost surely, 2^{3450082761216} is an apocalyptic number.

3450082761216 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 3450082761216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6395877512640).

3450082761216 is an abundant number, since it is smaller than the sum of its proper divisors (9341672264064).

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

3450082761216 is a wasteful number, since it uses less digits than its factorization.

3450082761216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8546 (or 8521 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 3450082761216 in words is "three trillion, four hundred fifty billion, eighty-two million, seven hundred sixty-one thousand, two hundred sixteen".