3319479360 has 448 divisors, whose sum is σ = 12540691200. Its totient is φ = 824131584.

The previous prime is 3319479323. The next prime is 3319479407. The reversal of 3319479360 is 639749133.

It is a happy number.

3319479360 is a `hidden beast` number, since 33 + 194 + 79 + 360 = 666.

It is a super-2 number, since 2×3319479360² = 22037886442932019200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11983542 + ... + 11983818.

Almost surely, 2^3319479360 is an apocalyptic number.

3319479360 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 3319479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6270345600).

3319479360 is an abundant number, since it is smaller than the sum of its proper divisors (9221211840).

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

3319479360 is a wasteful number, since it uses less digits than its factorization.

3319479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 45.

The square root of 3319479360 is about 57614.9230668583. The cubic root of 3319479360 is about 1491.7291997269.

The spelling of 3319479360 in words is "three billion, three hundred nineteen million, four hundred seventy-nine thousand, three hundred sixty".