3847825800 has 576 divisors, whose sum is σ = 16113552000. Its totient is φ = 806008320.

The previous prime is 3847825739. The next prime is 3847825819. The reversal of 3847825800 is 85287483.

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

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, 27682131 + ... + 27682269.

Almost surely, 2^3847825800 is an apocalyptic number.

3847825800 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 3847825800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8056776000).

3847825800 is an abundant number, since it is smaller than the sum of its proper divisors (12265726200).

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

3847825800 is a wasteful number, since it uses less digits than its factorization.

3847825800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The square root of 3847825800 is about 62030.8455528377. The cubic root of 3847825800 is about 1567.0101183537.

The spelling of 3847825800 in words is "three billion, eight hundred forty-seven million, eight hundred twenty-five thousand, eight hundred".