3674227985568 has 288 divisors, whose sum is σ = 12522666199680. Its totient is φ = 1037982781440.

The previous prime is 3674227985557. The next prime is 3674227985621. The reversal of 3674227985568 is 8655897224763.

3674227985568 is a `hidden beast` number, since 3 + 6 + 7 + 42 + 27 + 9 + 8 + 556 + 8 = 666.

3674227985568 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3674227985496 and 3674227985505.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4465228 + ... + 5223668.

It is an arithmetic number, because the mean of its divisors is an integer number (43481479860).

Almost surely, 2^{3674227985568} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3674227985568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6261333099840).

3674227985568 is an abundant number, since it is smaller than the sum of its proper divisors (8848438214112).

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

3674227985568 is an equidigital number, since it uses as much as digits as its factorization.

3674227985568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758562 (or 758542 counting only the distinct ones).

The product of its digits is 1219276800, while the sum is 72.

The spelling of 3674227985568 in words is "three trillion, six hundred seventy-four billion, two hundred twenty-seven million, nine hundred eighty-five thousand, five hundred sixty-eight".