3782267320 has 128 divisors (see below), whose sum is σ = 9308275200. Its totient is φ = 1383063552.

The previous prime is 3782267311. The next prime is 3782267327. The reversal of 3782267320 is 237622873.

It is a super-4 number, since 4×3782267320⁴ (a number of 39 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782267327) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16960729 + ... + 16960951.

It is an arithmetic number, because the mean of its divisors is an integer number (72720900).

Almost surely, 2^3782267320 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 3782267320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4654137600).

3782267320 is an abundant number, since it is smaller than the sum of its proper divisors (5526007880).

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

3782267320 is a wasteful number, since it uses less digits than its factorization.

3782267320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 466 (or 436 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 40.

The square root of 3782267320 is about 61500.1408128469. The cubic root of 3782267320 is about 1558.0596245397.

The spelling of 3782267320 in words is "three billion, seven hundred eighty-two million, two hundred sixty-seven thousand, three hundred twenty".