3784002720 has 96 divisors (see below), whose sum is σ = 11986470720. Its totient is φ = 1003407360.

The previous prime is 3784002671. The next prime is 3784002731. The reversal of 3784002720 is 272004873.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63900 + ... + 107940.

It is an arithmetic number, because the mean of its divisors is an integer number (124859070).

Almost surely, 2^3784002720 is an apocalyptic number.

3784002720 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 3784002720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5993235360).

3784002720 is an abundant number, since it is smaller than the sum of its proper divisors (8202468000).

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

3784002720 is a wasteful number, since it uses less digits than its factorization.

3784002720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44238 (or 44230 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 3784002720 is about 61514.2481056218. The cubic root of 3784002720 is about 1558.2978805042.

The spelling of 3784002720 in words is "three billion, seven hundred eighty-four million, two thousand, seven hundred twenty".