3479224320 has 720 divisors, whose sum is σ = 14642916960. Its totient is φ = 778567680.

The previous prime is 3479224319. The next prime is 3479224327. The reversal of 3479224320 is 234229743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is not an unprimeable number, because it can be changed into a prime (3479224327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 267632634 + ... + 267632646.

Almost surely, 2^3479224320 is an apocalyptic number.

3479224320 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 3479224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321458480).

3479224320 is an abundant number, since it is smaller than the sum of its proper divisors (11163692640).

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

3479224320 is a wasteful number, since it uses less digits than its factorization.

3479224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77 (or 34 counting only the distinct ones).

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

The square root of 3479224320 is about 58984.9499448800. The cubic root of 3479224320 is about 1515.2843697154.

The spelling of 3479224320 in words is "three billion, four hundred seventy-nine million, two hundred twenty-four thousand, three hundred twenty".