3858700800 has 480 divisors, whose sum is σ = 14138416512. Its totient is φ = 922746880.

The previous prime is 3858700759. The next prime is 3858700819. The reversal of 3858700800 is 80078583.

3858700800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (480).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15014272 + ... + 15014528.

Almost surely, 2^3858700800 is an apocalyptic number.

3858700800 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 3858700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7069208256).

3858700800 is an abundant number, since it is smaller than the sum of its proper divisors (10279715712).

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

3858700800 is a wasteful number, since it uses less digits than its factorization.

3858700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 307 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 3858700800 is about 62118.4417061471. The cubic root of 3858700800 is about 1568.4849950501.

The spelling of 3858700800 in words is "three billion, eight hundred fifty-eight million, seven hundred thousand, eight hundred".