3666704138496 has 729 divisors, whose sum is σ = 12696661412253. Its totient is φ = 1014724730880.

The previous prime is 3666704138473. The next prime is 3666704138507. The reversal of 3666704138496 is 6948314076663.

The square root of 3666704138496 is 1914864.

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., 176682352896 + 3490021785600 = 420336^2 + 1868160^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 26379166395 + ... + 26379166533.

Almost surely, 2^{3666704138496} is an apocalyptic number.

3666704138496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3666704138496 is the 1914864-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3666704138496

3666704138496 is an abundant number, since it is smaller than the sum of its proper divisors (9029957273757).

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

3666704138496 is an equidigital number, since it uses as much as digits as its factorization.

3666704138496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 3666704138496 in words is "three trillion, six hundred sixty-six billion, seven hundred four million, one hundred thirty-eight thousand, four hundred ninety-six".