3812889600 has 792 divisors, whose sum is σ = 15706876640. Its totient is φ = 875888640.

The previous prime is 3812889599. The next prime is 3812889601. The reversal of 3812889600 is 69882183.

3812889600 is a `hidden beast` number, since 38 + 1 + 2 + 8 + 8 + 9 + 600 = 666.

It is an interprime number because it is at equal distance from previous prime (3812889599) and next prime (3812889601).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812889601) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56908767 + ... + 56908833.

Almost surely, 2^3812889600 is an apocalyptic number.

3812889600 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 3812889600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7853438320).

3812889600 is an abundant number, since it is smaller than the sum of its proper divisors (11893987040).

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

3812889600 is a wasteful number, since it uses less digits than its factorization.

3812889600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 3812889600 is about 61748.5999841292. The cubic root of 3812889600 is about 1562.2531543918.

The spelling of 3812889600 in words is "three billion, eight hundred twelve million, eight hundred eighty-nine thousand, six hundred".