3996934200 has 384 divisors, whose sum is σ = 16123968000. Its totient is φ = 890956800.

The previous prime is 3996934163. The next prime is 3996934211. The reversal of 3996934200 is 24396993.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 1548511 + ... + 1551089.

It is an arithmetic number, because the mean of its divisors is an integer number (41989500).

Almost surely, 2^3996934200 is an apocalyptic number.

3996934200 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 3996934200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8061984000).

3996934200 is an abundant number, since it is smaller than the sum of its proper divisors (12127033800).

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

3996934200 is a wasteful number, since it uses less digits than its factorization.

3996934200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2652 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 314928, while the sum is 45.

The square root of 3996934200 is about 63221.3112802953. The cubic root of 3996934200 is about 1586.9953937995.

The spelling of 3996934200 in words is "three billion, nine hundred ninety-six million, nine hundred thirty-four thousand, two hundred".