3381901600 has 648 divisors, whose sum is σ = 11370772224. Its totient is φ = 975744000.

The previous prime is 3381901571. The next prime is 3381901603. The reversal of 3381901600 is 61091833.

It is a super-2 number, since 2×3381901600² = 22874516864165120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (3381901603) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 109093585 + ... + 109093615.

It is an arithmetic number, because the mean of its divisors is an integer number (17547488).

Almost surely, 2^3381901600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3381901600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685386112).

3381901600 is an abundant number, since it is smaller than the sum of its proper divisors (7988870624).

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

3381901600 is a wasteful number, since it uses less digits than its factorization.

3381901600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 3381901600 is about 58154.1193725776. The cubic root of 3381901600 is about 1501.0217631013.

The spelling of 3381901600 in words is "three billion, three hundred eighty-one million, nine hundred one thousand, six hundred".