3664274249952 has 72 divisors (see below), whose sum is σ = 10421055406944. Its totient is φ = 1221333848064.

The previous prime is 3664274249939. The next prime is 3664274250001. The reversal of 3664274249952 is 2599424724663.

3664274249952 is a `hidden beast` number, since 3 + 66 + 42 + 7 + 42 + 499 + 5 + 2 = 666.

3664274249952 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 (72).

It is a super-2 number, since 2×3664274249952² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3664274249952.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3459673 + ... + 4392935.

It is an arithmetic number, because the mean of its divisors is an integer number (144736880652).

Almost surely, 2^{3664274249952} is an apocalyptic number.

3664274249952 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3664274249952 is an abundant number, since it is smaller than the sum of its proper divisors (6756781156992).

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

3664274249952 is a wasteful number, since it uses less digits than its factorization.

3664274249952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 946912 (or 946901 counting only the distinct ones).

The product of its digits is 156764160, while the sum is 63.

The spelling of 3664274249952 in words is "three trillion, six hundred sixty-four billion, two hundred seventy-four million, two hundred forty-nine thousand, nine hundred fifty-two".