3994956000 has 576 divisors, whose sum is σ = 16484622336. Its totient is φ = 897408000.

The previous prime is 3994955989. The next prime is 3994956029. The reversal of 3994956000 is 6594993.

It is a happy number.

3994956000 is a `hidden beast` number, since 39 + 9 + 4 + 9 + 5 + 600 + 0 = 666.

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, 20915905 + ... + 20916095.

It is an arithmetic number, because the mean of its divisors is an integer number (28619136).

Almost surely, 2^3994956000 is an apocalyptic number.

3994956000 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 3994956000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8242311168).

3994956000 is an abundant number, since it is smaller than the sum of its proper divisors (12489666336).

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

3994956000 is a wasteful number, since it uses less digits than its factorization.

3994956000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The square root of 3994956000 is about 63205.6643031303. The cubic root of 3994956000 is about 1586.7335337338.

The spelling of 3994956000 in words is "three billion, nine hundred ninety-four million, nine hundred fifty-six thousand".