3414480340464 has 80 divisors (see below), whose sum is σ = 10039867719840. Its totient is φ = 1110400104960.

The previous prime is 3414480340409. The next prime is 3414480340477. The reversal of 3414480340464 is 4640430844143.

3414480340464 is a `hidden beast` number, since 3 + 4 + 144 + 8 + 0 + 3 + 40 + 464 = 666.

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, 96371187 + ... + 96406610.

It is an arithmetic number, because the mean of its divisors is an integer number (125498346498).

Almost surely, 2^{3414480340464} is an apocalyptic number.

It is an amenable number.

3414480340464 is an abundant number, since it is smaller than the sum of its proper divisors (6625387379376).

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

3414480340464 is a wasteful number, since it uses less digits than its factorization.

3414480340464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192777855 (or 192777843 counting only the distinct ones).

The product of its (nonzero) digits is 1769472, while the sum is 45.

The spelling of 3414480340464 in words is "three trillion, four hundred fourteen billion, four hundred eighty million, three hundred forty thousand, four hundred sixty-four".