3682332576 has 288 divisors, whose sum is σ = 11878776000. Its totient is φ = 1115265024.

The previous prime is 3682332571. The next prime is 3682332587. The reversal of 3682332576 is 6752332863.

3682332576 is a `hidden beast` number, since 368 + 2 + 33 + 257 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (3682332571) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7379175 + ... + 7379673.

It is an arithmetic number, because the mean of its divisors is an integer number (41245750).

Almost surely, 2^3682332576 is an apocalyptic number.

3682332576 is a gapful number since it is divisible by the number (36) 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 3682332576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5939388000).

3682332576 is an abundant number, since it is smaller than the sum of its proper divisors (8196443424).

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

3682332576 is a wasteful number, since it uses less digits than its factorization.

3682332576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 590 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 45.

The square root of 3682332576 is about 60682.2261951554. The cubic root of 3682332576 is about 1544.2146560087.

The spelling of 3682332576 in words is "three billion, six hundred eighty-two million, three hundred thirty-two thousand, five hundred seventy-six".