3682852992 has 576 divisors, whose sum is σ = 14056660800. Its totient is φ = 898781184.

The previous prime is 3682852963. The next prime is 3682853017. The reversal of 3682852992 is 2992582863.

3682852992 is a `hidden beast` number, since 3 + 6 + 8 + 28 + 529 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85647723 + ... + 85647765.

It is an arithmetic number, because the mean of its divisors is an integer number (24403925).

Almost surely, 2^3682852992 is an apocalyptic number.

3682852992 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 3682852992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7028330400).

3682852992 is an abundant number, since it is smaller than the sum of its proper divisors (10373807808).

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

3682852992 is a wasteful number, since it uses less digits than its factorization.

3682852992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145 (or 87 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 54.

The square root of 3682852992 is about 60686.5140867392. The cubic root of 3682852992 is about 1544.2873994073.

The spelling of 3682852992 in words is "three billion, six hundred eighty-two million, eight hundred fifty-two thousand, nine hundred ninety-two".