3994099200 has 960 divisors, whose sum is σ = 18185502720. Its totient is φ = 836075520.

The previous prime is 3994099189. The next prime is 3994099259. The reversal of 3994099200 is 29904993.

3994099200 is a `hidden beast` number, since 39 + 9 + 409 + 9 + 200 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 31449537 + ... + 31449663.

It is an arithmetic number, because the mean of its divisors is an integer number (18943232).

Almost surely, 2^3994099200 is an apocalyptic number.

3994099200 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 3994099200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9092751360).

3994099200 is an abundant number, since it is smaller than the sum of its proper divisors (14191403520).

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

3994099200 is a wasteful number, since it uses less digits than its factorization.

3994099200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 157464, while the sum is 45.

The square root of 3994099200 is about 63198.8860661325. The cubic root of 3994099200 is about 1586.6200898065.

The spelling of 3994099200 in words is "three billion, nine hundred ninety-four million, ninety-nine thousand, two hundred".