3783240384 has 224 divisors, whose sum is σ = 13214762496. Its totient is φ = 924794880.

The previous prime is 3783240379. The next prime is 3783240397. The reversal of 3783240384 is 4830423873.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 243802 + ... + 258854.

Almost surely, 2^3783240384 is an apocalyptic number.

3783240384 is a gapful number since it is divisible by the number (34) 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 3783240384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6607381248).

3783240384 is an abundant number, since it is smaller than the sum of its proper divisors (9431522112).

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

3783240384 is a wasteful number, since it uses less digits than its factorization.

3783240384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15103 (or 15093 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 42.

The square root of 3783240384 is about 61508.0513754094. The cubic root of 3783240384 is about 1558.1932270948.

The spelling of 3783240384 in words is "three billion, seven hundred eighty-three million, two hundred forty thousand, three hundred eighty-four".