3364790160 has 160 divisors (see below), whose sum is σ = 10697743872. Its totient is φ = 874485760.

The previous prime is 3364790147. The next prime is 3364790167. The reversal of 3364790160 is 610974633.

It is a super-2 number, since 2×3364790160² = 22643625641665651200, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3364790167) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3575290 + ... + 3576230.

Almost surely, 2^3364790160 is an apocalyptic number.

3364790160 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 3364790160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5348871936).

3364790160 is an abundant number, since it is smaller than the sum of its proper divisors (7332953712).

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

3364790160 is a wasteful number, since it uses less digits than its factorization.

3364790160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1321 (or 1315 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 39.

The square root of 3364790160 is about 58006.8113241885. The cubic root of 3364790160 is about 1498.4859032995.

The spelling of 3364790160 in words is "three billion, three hundred sixty-four million, seven hundred ninety thousand, one hundred sixty".