3364508160 has 480 divisors, whose sum is σ = 12869176320. Its totient is φ = 807174144.

The previous prime is 3364508143. The next prime is 3364508177. The reversal of 3364508160 is 618054633.

3364508160 is a `hidden beast` number, since 3 + 3 + 645 + 0 + 8 + 1 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3364508143) and next prime (3364508177).

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3364508160² = 22639830317413171200, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14077321 + ... + 14077559.

It is an arithmetic number, because the mean of its divisors is an integer number (26810784).

Almost surely, 2^3364508160 is an apocalyptic number.

3364508160 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 3364508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6434588160).

3364508160 is an abundant number, since it is smaller than the sum of its proper divisors (9504668160).

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

3364508160 is a wasteful number, since it uses less digits than its factorization.

3364508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 3364508160 is about 58004.3805242328. The cubic root of 3364508160 is about 1498.4440398835. Note that the first 3 decimals are identical.

The spelling of 3364508160 in words is "three billion, three hundred sixty-four million, five hundred eight thousand, one hundred sixty".