3479303010456 has 384 divisors, whose sum is σ = 12297070356480. Its totient is φ = 862432800768.

The previous prime is 3479303010361. The next prime is 3479303010487. The reversal of 3479303010456 is 6540103039743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 80954685 + ... + 80997651.

It is an arithmetic number, because the mean of its divisors is an integer number (32023620720).

Almost surely, 2^{3479303010456} is an apocalyptic number.

3479303010456 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3479303010456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6148535178240).

3479303010456 is an abundant number, since it is smaller than the sum of its proper divisors (8817767346024).

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

3479303010456 is a wasteful number, since it uses less digits than its factorization.

3479303010456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43743 (or 43736 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 45.

The spelling of 3479303010456 in words is "three trillion, four hundred seventy-nine billion, three hundred three million, ten thousand, four hundred fifty-six".