3478439457024 has 576 divisors, whose sum is σ = 11312125224960. Its totient is φ = 926849433600.

The previous prime is 3478439456981. The next prime is 3478439457083. The reversal of 3478439457024 is 4207549348743.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1991092119 + ... + 1991093865.

Almost surely, 2^{3478439457024} 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 3478439457024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5656062612480).

3478439457024 is an abundant number, since it is smaller than the sum of its proper divisors (7833685767936).

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

3478439457024 is a wasteful number, since it uses less digits than its factorization.

3478439457024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2072 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 60.

The spelling of 3478439457024 in words is "three trillion, four hundred seventy-eight billion, four hundred thirty-nine million, four hundred fifty-seven thousand, twenty-four".