3479467951024 has 80 divisors (see below), whose sum is σ = 7468718846400. Its totient is φ = 1559894768640.

The previous prime is 3479467951009. The next prime is 3479467951031. The reversal of 3479467951024 is 4201597649743.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4232514 + ... + 4987294.

It is an arithmetic number, because the mean of its divisors is an integer number (93358985580).

Almost surely, 2^{3479467951024} 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 3479467951024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3734359423200).

3479467951024 is an abundant number, since it is smaller than the sum of its proper divisors (3989250895376).

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

3479467951024 is a wasteful number, since it uses less digits than its factorization.

3479467951024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755438 (or 755432 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 61.

The spelling of 3479467951024 in words is "three trillion, four hundred seventy-nine billion, four hundred sixty-seven million, nine hundred fifty-one thousand, twenty-four".