3479034240 has 320 divisors, whose sum is σ = 13555959120. Its totient is φ = 843264000.

The previous prime is 3479034191. The next prime is 3479034263. The reversal of 3479034240 is 424309743.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3479034195 and 3479034204.

It is a congruent 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 39 ways as a sum of consecutive naturals, for example, 567190 + ... + 573290.

Almost surely, 2^3479034240 is an apocalyptic number.

3479034240 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 3479034240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6777979560).

3479034240 is an abundant number, since it is smaller than the sum of its proper divisors (10076924880).

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

3479034240 is a wasteful number, since it uses less digits than its factorization.

3479034240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143 (or 6122 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3479034240 is about 58983.3386644059. The cubic root of 3479034240 is about 1515.2567744364.

The spelling of 3479034240 in words is "three billion, four hundred seventy-nine million, thirty-four thousand, two hundred forty".