3168338880 has 448 divisors, whose sum is σ = 12097585152. Its totient is φ = 687329280.

The previous prime is 3168338879. The next prime is 3168338917. The reversal of 3168338880 is 888338613.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

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 63 ways as a sum of consecutive naturals, for example, 13957327 + ... + 13957553.

Almost surely, 2^3168338880 is an apocalyptic number.

3168338880 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 3168338880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6048792576).

3168338880 is an abundant number, since it is smaller than the sum of its proper divisors (8929246272).

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

3168338880 is a wasteful number, since it uses less digits than its factorization.

3168338880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The square root of 3168338880 is about 56287.9994314952. Note that the first 3 decimals coincide. The cubic root of 3168338880 is about 1468.7364587736.

The spelling of 3168338880 in words is "three billion, one hundred sixty-eight million, three hundred thirty-eight thousand, eight hundred eighty".