3906380800 has 132 divisors (see below), whose sum is σ = 11066900800. Its totient is φ = 1339269120.

The previous prime is 3906380767. The next prime is 3906380813. The reversal of 3906380800 is 80836093.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3906380800.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 168301 + ... + 190099.

Almost surely, 2^3906380800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3906380800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5533450400).

3906380800 is an abundant number, since it is smaller than the sum of its proper divisors (7160520000).

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

3906380800 is a wasteful number, since it uses less digits than its factorization.

3906380800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21836 (or 21813 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 37.

The square root of 3906380800 is about 62501.0463912405. The cubic root of 3906380800 is about 1574.9188905909.

The spelling of 3906380800 in words is "three billion, nine hundred six million, three hundred eighty thousand, eight hundred".