3835666800 has 360 divisors, whose sum is σ = 16015026560. Its totient is φ = 830476800.

The previous prime is 3835666787. The next prime is 3835666801. The reversal of 3835666800 is 86665383.

3835666800 is digitally balanced in base 2 and base 4, because in such bases 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 (360).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3835666801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 474795 + ... + 482805.

Almost surely, 2^3835666800 is an apocalyptic number.

3835666800 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 3835666800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8007513280).

3835666800 is an abundant number, since it is smaller than the sum of its proper divisors (12179359760).

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

3835666800 is a wasteful number, since it uses less digits than its factorization.

3835666800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8061 (or 8047 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3835666800 is about 61932.7603131009. The cubic root of 3835666800 is about 1565.3578103089.

The spelling of 3835666800 in words is "three billion, eight hundred thirty-five million, six hundred sixty-six thousand, eight hundred".