3806745600 has 528 divisors, whose sum is σ = 14726085248. Its totient is φ = 849346560.

The previous prime is 3806745599. The next prime is 3806745611. The reversal of 3806745600 is 65476083.

It is a congruent number.

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, 39244752 + ... + 39244848.

Almost surely, 2^3806745600 is an apocalyptic number.

3806745600 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 3806745600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7363042624).

3806745600 is an abundant number, since it is smaller than the sum of its proper divisors (10919339648).

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

3806745600 is a wasteful number, since it uses less digits than its factorization.

3806745600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The square root of 3806745600 is about 61698.8298106212. The cubic root of 3806745600 is about 1561.4135773607.

The spelling of 3806745600 in words is "three billion, eight hundred six million, seven hundred forty-five thousand, six hundred".