3479805756 has 216 divisors, whose sum is σ = 10566292464. Its totient is φ = 962357760.

The previous prime is 3479805697. The next prime is 3479805761. The reversal of 3479805756 is 6575089743.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7854871 + ... + 7855313.

Almost surely, 2^3479805756 is an apocalyptic number.

3479805756 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 3479805756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5283146232).

3479805756 is an abundant number, since it is smaller than the sum of its proper divisors (7086486708).

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

3479805756 is a wasteful number, since it uses less digits than its factorization.

3479805756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 601 (or 589 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The square root of 3479805756 is about 58989.8784199459. The cubic root of 3479805756 is about 1515.3687747176.

The spelling of 3479805756 in words is "three billion, four hundred seventy-nine million, eight hundred five thousand, seven hundred fifty-six".