3368386560 has 512 divisors, whose sum is σ = 13589337600. Its totient is φ = 692060160.

The previous prime is 3368386559. The next prime is 3368386589. The reversal of 3368386560 is 656838633.

It is a tau number, because it is divible by the number of its divisors (512).

It is a super-2 number, since 2×3368386560² = 22692056035177267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37846996 + ... + 37847084.

It is an arithmetic number, because the mean of its divisors is an integer number (26541675).

Almost surely, 2^3368386560 is an apocalyptic number.

3368386560 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 3368386560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6794668800).

3368386560 is an abundant number, since it is smaller than the sum of its proper divisors (10220951040).

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

3368386560 is an equidigital number, since it uses as much as digits as its factorization.

3368386560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 3368386560 is about 58037.8028529682. The cubic root of 3368386560 is about 1499.0195904488.

The spelling of 3368386560 in words is "three billion, three hundred sixty-eight million, three hundred eighty-six thousand, five hundred sixty".