3894787200 has 384 divisors, whose sum is σ = 13690195200. Its totient is φ = 970444800.

The previous prime is 3894787199. The next prime is 3894787229. The reversal of 3894787200 is 27874983.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 3894787200.

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 47 ways as a sum of consecutive naturals, for example, 23894319 + ... + 23894481.

It is an arithmetic number, because the mean of its divisors is an integer number (35651550).

Almost surely, 2^3894787200 is an apocalyptic number.

3894787200 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 3894787200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6845097600).

3894787200 is an abundant number, since it is smaller than the sum of its proper divisors (9795408000).

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

3894787200 is a wasteful number, since it uses less digits than its factorization.

3894787200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 48.

The square root of 3894787200 is about 62408.2302264693. The cubic root of 3894787200 is about 1573.3592992618.

The spelling of 3894787200 in words is "three billion, eight hundred ninety-four million, seven hundred eighty-seven thousand, two hundred".