3682264032 has 72 divisors (see below), whose sum is σ = 10477434240. Its totient is φ = 1226718720.

The previous prime is 3682263989. The next prime is 3682264037. The reversal of 3682264032 is 2304622863.

3682264032 is a `hidden beast` number, since 3 + 6 + 8 + 2 + 2 + 640 + 3 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3682264037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 826932 + ... + 831372.

It is an arithmetic number, because the mean of its divisors is an integer number (145519920).

Almost surely, 2^3682264032 is an apocalyptic number.

3682264032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3682264032 is an abundant number, since it is smaller than the sum of its proper divisors (6795170208).

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

3682264032 is a wasteful number, since it uses less digits than its factorization.

3682264032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7336 (or 7325 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The square root of 3682264032 is about 60681.6614143021. The cubic root of 3682264032 is about 1544.2050744637.

Adding to 3682264032 its reverse (2304622863), we get a palindrome (5986886895).

The spelling of 3682264032 in words is "three billion, six hundred eighty-two million, two hundred sixty-four thousand, thirty-two".