3414612713072 has 80 divisors (see below), whose sum is σ = 7491605194080. Its totient is φ = 1493460864000.

The previous prime is 3414612713053. The next prime is 3414612713081. The reversal of 3414612713072 is 2703172164143.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 353822 + ... + 2637122.

It is an arithmetic number, because the mean of its divisors is an integer number (93645064926).

Almost surely, 2^{3414612713072} 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 3414612713072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3745802597040).

3414612713072 is an abundant number, since it is smaller than the sum of its proper divisors (4076992481008).

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

3414612713072 is a wasteful number, since it uses less digits than its factorization.

3414612713072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2283642 (or 2283636 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 41.

The spelling of 3414612713072 in words is "three trillion, four hundred fourteen billion, six hundred twelve million, seven hundred thirteen thousand, seventy-two".