3328861800 has 192 divisors, whose sum is σ = 11920219200. Its totient is φ = 759500800.

The previous prime is 3328861799. The next prime is 3328861849. The reversal of 3328861800 is 81688233.

It is a super-2 number, since 2×3328861800² = 22162641766998480000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 97366 + ... + 127034.

It is an arithmetic number, because the mean of its divisors is an integer number (62084475).

Almost surely, 2^3328861800 is an apocalyptic number.

3328861800 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 3328861800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5960109600).

3328861800 is an abundant number, since it is smaller than the sum of its proper divisors (8591357400).

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

3328861800 is a wasteful number, since it uses less digits than its factorization.

3328861800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29716 (or 29707 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 3328861800 is about 57696.2893087588. The cubic root of 3328861800 is about 1493.1333249263.

The spelling of 3328861800 in words is "three billion, three hundred twenty-eight million, eight hundred sixty-one thousand, eight hundred".