3866335200 has 864 divisors, whose sum is σ = 17579812320. Its totient is φ = 812851200.

The previous prime is 3866335189. The next prime is 3866335229. The reversal of 3866335200 is 25336683.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (864).

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, 13759060 + ... + 13759340.

It is an arithmetic number, because the mean of its divisors is an integer number (20347005).

Almost surely, 2^3866335200 is an apocalyptic number.

3866335200 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 3866335200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8789906160).

3866335200 is an abundant number, since it is smaller than the sum of its proper divisors (13713477120).

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

3866335200 is a wasteful number, since it uses less digits than its factorization.

3866335200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

The square root of 3866335200 is about 62179.8616917085. The cubic root of 3866335200 is about 1569.5187241066.

The spelling of 3866335200 in words is "three billion, eight hundred sixty-six million, three hundred thirty-five thousand, two hundred".