3480097120456 has 16 divisors (see below), whose sum is σ = 7118380473840. Its totient is φ = 1581862327440.

The previous prime is 3480097120421. The next prime is 3480097120483. The reversal of 3480097120456 is 6540217900843.

It is a happy number.

It is a super-3 number, since 3×3480097120456³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 19773279006 + ... + 19773279181.

It is an arithmetic number, because the mean of its divisors is an integer number (444898779615).

It is a 1-persistent number, because it is pandigital, but 2⋅3480097120456 = 6960194240912 is not.

Almost surely, 2^{3480097120456} is an apocalyptic number.

It is an amenable number.

3480097120456 is an abundant number, since it is smaller than the sum of its proper divisors (3638283353384).

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

3480097120456 is a wasteful number, since it uses less digits than its factorization.

3480097120456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39546558204 (or 39546558200 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 49.

The spelling of 3480097120456 in words is "three trillion, four hundred eighty billion, ninety-seven million, one hundred twenty thousand, four hundred fifty-six".