3364760160 has 288 divisors, whose sum is σ = 12614434560. Its totient is φ = 812934144.

The previous prime is 3364760159. The next prime is 3364760171. The reversal of 3364760160 is 610674633.

It is a happy number.

3364760160 is a `hidden beast` number, since 3 + 3 + 6 + 47 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3364760160² = 22643221868646451200, 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, 626607 + ... + 631953.

It is an arithmetic number, because the mean of its divisors is an integer number (43800120).

Almost surely, 2^3364760160 is an apocalyptic number.

3364760160 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 3364760160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6307217280).

3364760160 is an abundant number, since it is smaller than the sum of its proper divisors (9249674400).

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

3364760160 is a wasteful number, since it uses less digits than its factorization.

3364760160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5410 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The square root of 3364760160 is about 58006.5527332904. The cubic root of 3364760160 is about 1498.4814498558.

The spelling of 3364760160 in words is "three billion, three hundred sixty-four million, seven hundred sixty thousand, one hundred sixty".