3809773440 has 768 divisors, whose sum is σ = 15878903040. Its totient is φ = 862617600.

The previous prime is 3809773433. The next prime is 3809773441. The reversal of 3809773440 is 443779083.

It is a happy number.

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 (3809773441) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29082175 + ... + 29082305.

It is an arithmetic number, because the mean of its divisors is an integer number (20675655).

Almost surely, 2^3809773440 is an apocalyptic number.

3809773440 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 3809773440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7939451520).

3809773440 is an abundant number, since it is smaller than the sum of its proper divisors (12069129600).

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

3809773440 is a wasteful number, since it uses less digits than its factorization.

3809773440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 193 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The square root of 3809773440 is about 61723.3621896928. The cubic root of 3809773440 is about 1561.8274442242.

The spelling of 3809773440 in words is "three billion, eight hundred nine million, seven hundred seventy-three thousand, four hundred forty".