3949283100 has 144 divisors (see below), whose sum is σ = 13337146368. Its totient is φ = 883464960.

The previous prime is 3949283089. The next prime is 3949283159. The reversal of 3949283100 is 13829493.

It is a super-2 number, since 2×3949283100² = 31193674007891220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78694 + ... + 118706.

It is an arithmetic number, because the mean of its divisors is an integer number (92619072).

Almost surely, 2^3949283100 is an apocalyptic number.

3949283100 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 3949283100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6668573184).

3949283100 is an abundant number, since it is smaller than the sum of its proper divisors (9387863268).

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

3949283100 is a wasteful number, since it uses less digits than its factorization.

3949283100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40084 (or 40077 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 39.

The square root of 3949283100 is about 62843.3218409084. The cubic root of 3949283100 is about 1580.6634905019.

The spelling of 3949283100 in words is "three billion, nine hundred forty-nine million, two hundred eighty-three thousand, one hundred".