3319980048 has 800 divisors, whose sum is σ = 13481994240. Its totient is φ = 761425920.

The previous prime is 3319980007. The next prime is 3319980089. The reversal of 3319980048 is 8400899133.

It is an interprime number because it is at equal distance from previous prime (3319980007) and next prime (3319980089).

It is a super-2 number, since 2×3319980048² = 22044535038236164608, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3319979985 and 3319980012.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 32232765 + ... + 32232867.

Almost surely, 2^3319980048 is an apocalyptic number.

3319980048 is a gapful number since it is divisible by the number (38) 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 3319980048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740997120).

3319980048 is an abundant number, since it is smaller than the sum of its proper divisors (10162014192).

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

3319980048 is a wasteful number, since it uses less digits than its factorization.

3319980048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 3319980048 is about 57619.2680272841. The cubic root of 3319980048 is about 1491.8041967650.

The spelling of 3319980048 in words is "three billion, three hundred nineteen million, nine hundred eighty thousand, forty-eight".