3346479360 has 864 divisors, whose sum is σ = 14463671040. Its totient is φ = 724598784.

The previous prime is 3346479347. The next prime is 3346479361. The reversal of 3346479360 is 639746433.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×3346479360² = 22397848213812019200, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (3346479361) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 63141094 + ... + 63141146.

It is an arithmetic number, because the mean of its divisors is an integer number (16740360).

Almost surely, 2^3346479360 is an apocalyptic number.

3346479360 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 3346479360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7231835520).

3346479360 is an abundant number, since it is smaller than the sum of its proper divisors (11117191680).

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

3346479360 is an equidigital number, since it uses as much as digits as its factorization.

3346479360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 45.

The square root of 3346479360 is about 57848.7628216888. The cubic root of 3346479360 is about 1495.7627618122.

The spelling of 3346479360 in words is "three billion, three hundred forty-six million, four hundred seventy-nine thousand, three hundred sixty".