3783440320 has 112 divisors (see below), whose sum is σ = 9850831200. Its totient is φ = 1372651520.

The previous prime is 3783440299. The next prime is 3783440347. The reversal of 3783440320 is 230443873.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001936 + ... + 2003824.

It is an arithmetic number, because the mean of its divisors is an integer number (87953850).

Almost surely, 2^3783440320 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 3783440320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4925415600).

3783440320 is an abundant number, since it is smaller than the sum of its proper divisors (6067390880).

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

3783440320 is a wasteful number, since it uses less digits than its factorization.

3783440320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2486 (or 2476 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 34.

The square root of 3783440320 is about 61509.6766370951. The cubic root of 3783440320 is about 1558.2206756487.

The spelling of 3783440320 in words is "three billion, seven hundred eighty-three million, four hundred forty thousand, three hundred twenty".