3386166960 has 80 divisors (see below), whose sum is σ = 11451409920. Its totient is φ = 820888320.

The previous prime is 3386166937. The next prime is 3386166989. The reversal of 3386166960 is 696616833.

3386166960 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3386166960² = 22932253361991283200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 638680 + ... + 643959.

It is an arithmetic number, because the mean of its divisors is an integer number (143142624).

Almost surely, 2^3386166960 is an apocalyptic number.

3386166960 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3386166960 is an abundant number, since it is smaller than the sum of its proper divisors (8065242960).

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

3386166960 is a wasteful number, since it uses less digits than its factorization.

3386166960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1282666 (or 1282660 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 48.

The square root of 3386166960 is about 58190.7807130992. The cubic root of 3386166960 is about 1501.6525431766.

The spelling of 3386166960 in words is "three billion, three hundred eighty-six million, one hundred sixty-six thousand, nine hundred sixty".