3479734080 has 560 divisors, whose sum is σ = 13443051600. Its totient is φ = 851116032.

The previous prime is 3479734067. The next prime is 3479734117. The reversal of 3479734080 is 804379743.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2509056 + 3477225024 = 1584^2 + 58968^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 23353846 + ... + 23353994.

Almost surely, 2^3479734080 is an apocalyptic number.

3479734080 is a gapful number since it is divisible by the number (30) 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 3479734080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6721525800).

3479734080 is an abundant number, since it is smaller than the sum of its proper divisors (9963317520).

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

3479734080 is a wasteful number, since it uses less digits than its factorization.

3479734080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 229 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3479734080 is about 58989.2708888659. The cubic root of 3479734080 is about 1515.3583702750.

The spelling of 3479734080 in words is "three billion, four hundred seventy-nine million, seven hundred thirty-four thousand, eighty".