3812239800 has 576 divisors, whose sum is σ = 14624064000. Its totient is φ = 884183040.

The previous prime is 3812239789. The next prime is 3812239801. The reversal of 3812239800 is 89322183.

It is a happy number.

3812239800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3812239801) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 45930559 + ... + 45930641.

It is an arithmetic number, because the mean of its divisors is an integer number (25389000).

Almost surely, 2^3812239800 is an apocalyptic number.

3812239800 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 3812239800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7312032000).

3812239800 is an abundant number, since it is smaller than the sum of its proper divisors (10811824200).

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

3812239800 is a wasteful number, since it uses less digits than its factorization.

3812239800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 3812239800 is about 61743.3381021791. The cubic root of 3812239800 is about 1562.1644019512.

The spelling of 3812239800 in words is "three billion, eight hundred twelve million, two hundred thirty-nine thousand, eight hundred".