3999068100 has 216 divisors, whose sum is σ = 13731386760. Its totient is φ = 968970240.

The previous prime is 3999068089. The next prime is 3999068123. The reversal of 3999068100 is 18609993.

It can be written as a sum of positive squares in 12 ways, for example, as 588741696 + 3410326404 = 24264^2 + 58398^2 .

It is a super-2 number, since 2×3999068100² = 31985091336875220000, 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 71 ways as a sum of consecutive naturals, for example, 439194 + ... + 448206.

It is an arithmetic number, because the mean of its divisors is an integer number (63571235).

Almost surely, 2^3999068100 is an apocalyptic number.

3999068100 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 3999068100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6865693380).

3999068100 is an abundant number, since it is smaller than the sum of its proper divisors (9732318660).

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

3999068100 is a wasteful number, since it uses less digits than its factorization.

3999068100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9079 (or 9069 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 3999068100 is about 63238.1854578387. The cubic root of 3999068100 is about 1587.2777674736.

The spelling of 3999068100 in words is "three billion, nine hundred ninety-nine million, sixty-eight thousand, one hundred".