3673536832 has 56 divisors (see below), whose sum is σ = 8346277440. Its totient is φ = 1571496960.

The previous prime is 3673536821. The next prime is 3673536847. The reversal of 3673536832 is 2386353763.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 247707 + ... + 262117.

Almost surely, 2^3673536832 is an apocalyptic number.

3673536832 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 3673536832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173138720).

3673536832 is an abundant number, since it is smaller than the sum of its proper divisors (4672740608).

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

3673536832 is a wasteful number, since it uses less digits than its factorization.

3673536832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14999 (or 14989 counting only the distinct ones).

The product of its digits is 1632960, while the sum is 46.

The square root of 3673536832 is about 60609.7090572129. The cubic root of 3673536832 is about 1542.9841546493.

The spelling of 3673536832 in words is "three billion, six hundred seventy-three million, five hundred thirty-six thousand, eight hundred thirty-two".