3364560144 has 120 divisors (see below), whose sum is σ = 10288029024. Its totient is φ = 1017984000.

The previous prime is 3364560131. The next prime is 3364560179. The reversal of 3364560144 is 4410654633.

3364560144 is a `hidden beast` number, since 3 + 3 + 6 + 4 + 5 + 601 + 44 = 666.

It is a super-2 number, since 2×3364560144² = 22640529925186601472, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 3364560099 and 3364560108.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1394299 + ... + 1396709.

Almost surely, 2^3364560144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3364560144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5144014512).

3364560144 is an abundant number, since it is smaller than the sum of its proper divisors (6923468880).

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

3364560144 is a wasteful number, since it uses less digits than its factorization.

3364560144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3317 (or 3308 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The square root of 3364560144 is about 58004.8286265894. The cubic root of 3364560144 is about 1498.4517571793.

The spelling of 3364560144 in words is "three billion, three hundred sixty-four million, five hundred sixty thousand, one hundred forty-four".