3682008348736 has 21 divisors (see below), whose sum is σ = 7306515778989. Its totient is φ = 1840996498944.

The previous prime is 3682008348709. The next prime is 3682008348779. The reversal of 3682008348736 is 6378438002863.

The square root of 3682008348736 is 1918856.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 394836289600 + 3287172059136 = 628360^2 + 1813056^2 .

It is a Duffinian 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 2 ways as a sum of consecutive naturals, for example, 15230920 + ... + 15470776.

It is an arithmetic number, because the mean of its divisors is an integer number (347929322809).

Almost surely, 2^{3682008348736} is an apocalyptic number.

3682008348736 is the 1918856-th square number.

It is an amenable number.

3682008348736 is a deficient number, since it is larger than the sum of its proper divisors (3624507430253).

3682008348736 is an frugal number, since it uses more digits than its factorization.

3682008348736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479726 (or 239859 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 58.

The spelling of 3682008348736 in words is "three trillion, six hundred eighty-two billion, eight million, three hundred forty-eight thousand, seven hundred thirty-six".