3381983280 has 400 divisors, whose sum is σ = 13321751520. Its totient is φ = 788299776.

The previous prime is 3381983251. The next prime is 3381983291. The reversal of 3381983280 is 823891833.

It is a super-2 number, since 2×3381983280² = 22875621812399116800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1599504 + ... + 1601616.

Almost surely, 2^3381983280 is an apocalyptic number.

3381983280 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 3381983280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6660875760).

3381983280 is an abundant number, since it is smaller than the sum of its proper divisors (9939768240).

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

3381983280 is a wasteful number, since it uses less digits than its factorization.

3381983280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2170 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 3381983280 is about 58154.8216401701. The cubic root of 3381983280 is about 1501.0338472762.

The spelling of 3381983280 in words is "three billion, three hundred eighty-one million, nine hundred eighty-three thousand, two hundred eighty".