3782782272 has 112 divisors (see below), whose sum is σ = 10400385600. Its totient is φ = 1211965440.

The previous prime is 3782782259. The next prime is 3782782273. The reversal of 3782782272 is 2722872873.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3782782273) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1340479 + ... + 1343297.

Almost surely, 2^3782782272 is an apocalyptic number.

3782782272 is a gapful number since it is divisible by the number (32) 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 3782782272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5200192800).

3782782272 is an abundant number, since it is smaller than the sum of its proper divisors (6617603328).

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

3782782272 is a wasteful number, since it uses less digits than its factorization.

3782782272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3104 (or 3094 counting only the distinct ones).

The product of its digits is 1053696, while the sum is 48.

The square root of 3782782272 is about 61504.3272623967. The cubic root of 3782782272 is about 1558.1303307627.

The spelling of 3782782272 in words is "three billion, seven hundred eighty-two million, seven hundred eighty-two thousand, two hundred seventy-two".