3813427800 has 576 divisors, whose sum is σ = 16292290560. Its totient is φ = 777600000.

The previous prime is 3813427763. The next prime is 3813427841. The reversal of 3813427800 is 87243183.

3813427800 is a `hidden beast` number, since 381 + 3 + 4 + 278 + 0 + 0 = 666.

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 polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5077425 + ... + 5078175.

Almost surely, 2^3813427800 is an apocalyptic number.

3813427800 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 3813427800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8146145280).

3813427800 is an abundant number, since it is smaller than the sum of its proper divisors (12478862760).

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

3813427800 is a wasteful number, since it uses less digits than its factorization.

3813427800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3813427800 is about 61752.9578238970. The cubic root of 3813427800 is about 1562.3266563967.

The spelling of 3813427800 in words is "three billion, eight hundred thirteen million, four hundred twenty-seven thousand, eight hundred".