3332864160 has 144 divisors (see below), whose sum is σ = 11455909920. Its totient is φ = 882316800.

The previous prime is 3332864113. The next prime is 3332864177. The reversal of 3332864160 is 614682333.

3332864160 is a `hidden beast` number, since 3 + 3 + 3 + 2 + 8 + 641 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3332864160² = 22215967018025011200, which contains 22 as substring.

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

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, 191835 + ... + 208485.

It is an arithmetic number, because the mean of its divisors is an integer number (79554930).

Almost surely, 2^3332864160 is an apocalyptic number.

3332864160 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 3332864160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5727954960).

3332864160 is an abundant number, since it is smaller than the sum of its proper divisors (8123045760).

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

3332864160 is a wasteful number, since it uses less digits than its factorization.

3332864160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16811 (or 16800 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 3332864160 is about 57730.9636157236. The cubic root of 3332864160 is about 1493.7314937105.

The spelling of 3332864160 in words is "three billion, three hundred thirty-two million, eight hundred sixty-four thousand, one hundred sixty".