3845900736 has 280 divisors, whose sum is σ = 11878568064. Its totient is φ = 1234517760.

The previous prime is 3845900719. The next prime is 3845900749. The reversal of 3845900736 is 6370095483.

3845900736 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 3845900691 and 3845900700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 54167581 + ... + 54167651.

Almost surely, 2^3845900736 is an apocalyptic number.

3845900736 is a gapful number since it is divisible by the number (36) 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 3845900736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939284032).

3845900736 is an abundant number, since it is smaller than the sum of its proper divisors (8032667328).

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

3845900736 is an frugal number, since it uses more digits than its factorization.

3845900736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 153 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 3845900736 is about 62015.3266217312. The cubic root of 3845900736 is about 1566.7487501482.

The spelling of 3845900736 in words is "three billion, eight hundred forty-five million, nine hundred thousand, seven hundred thirty-six".