3894307200 has 768 divisors, whose sum is σ = 16756070400. Its totient is φ = 864829440.

The previous prime is 3894307189. The next prime is 3894307231. The reversal of 3894307200 is 27034983.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28425532 + ... + 28425668.

It is an arithmetic number, because the mean of its divisors is an integer number (21817800).

Almost surely, 2^3894307200 is an apocalyptic number.

3894307200 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 3894307200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8378035200).

3894307200 is an abundant number, since it is smaller than the sum of its proper divisors (12861763200).

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

3894307200 is a wasteful number, since it uses less digits than its factorization.

3894307200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 224 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 3894307200 is about 62404.3844613501. The cubic root of 3894307200 is about 1573.2946621412.

The spelling of 3894307200 in words is "three billion, eight hundred ninety-four million, three hundred seven thousand, two hundred".