3291655461264 has 315 divisors, whose sum is σ = 9714069709617. Its totient is φ = 1080040770432.

The previous prime is 3291655461217. The next prime is 3291655461271. The reversal of 3291655461264 is 4621645561923.

The square root of 3291655461264 is 1814292.

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

3291655461264 is a `hidden beast` number, since 3 + 2 + 9 + 1 + 6 + 554 + 61 + 26 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 964834707600 + 2326820753664 = 982260^2 + 1525392^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 3291655461264.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 20965958274 + ... + 20965958430.

Almost surely, 2^{3291655461264} is an apocalyptic number.

3291655461264 is the 1814292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3291655461264

3291655461264 is an abundant number, since it is smaller than the sum of its proper divisors (6422414248353).

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

3291655461264 is an frugal number, since it uses more digits than its factorization.

3291655461264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 554 (or 269 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 3291655461264 in words is "three trillion, two hundred ninety-one billion, six hundred fifty-five million, four hundred sixty-one thousand, two hundred sixty-four".