3682228464 has 80 divisors (see below), whose sum is σ = 10607059200. Its totient is φ = 1223031744.

The previous prime is 3682228463. The next prime is 3682228523. The reversal of 3682228464 is 4648222863.

3682228464 is a `hidden beast` number, since 368 + 2 + 2 + 284 + 6 + 4 = 666.

It is a super-2 number, since 2×3682228464² = 27117612922183598592, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682228463) 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, 107197 + ... + 137315.

It is an arithmetic number, because the mean of its divisors is an integer number (132588240).

Almost surely, 2^3682228464 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 3682228464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5303529600).

3682228464 is an abundant number, since it is smaller than the sum of its proper divisors (6924830736).

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

3682228464 is a wasteful number, since it uses less digits than its factorization.

3682228464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30419 (or 30407 counting only the distinct ones).

The product of its digits is 884736, while the sum is 45.

The square root of 3682228464 is about 60681.3683431743. The cubic root of 3682228464 is about 1544.2001024807.

The spelling of 3682228464 in words is "three billion, six hundred eighty-two million, two hundred twenty-eight thousand, four hundred sixty-four".