3494272315104 has 240 divisors, whose sum is σ = 10820074003200. Its totient is φ = 1103184665856.

The previous prime is 3494272315103. The next prime is 3494272315129. The reversal of 3494272315104 is 4015132724943.

3494272315104 is a `hidden beast` number, since 3 + 4 + 94 + 27 + 23 + 1 + 510 + 4 = 666.

3494272315104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 3494272315104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3494272315103) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 325376167 + ... + 325386905.

It is an arithmetic number, because the mean of its divisors is an integer number (45083641680).

Almost surely, 2^{3494272315104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3494272315104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5410037001600).

3494272315104 is an abundant number, since it is smaller than the sum of its proper divisors (7325801688096).

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

3494272315104 is a wasteful number, since it uses less digits than its factorization.

3494272315104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17387 (or 17370 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 3494272315104 in words is "three trillion, four hundred ninety-four billion, two hundred seventy-two million, three hundred fifteen thousand, one hundred four".