3267834886656 has 960 divisors, whose sum is σ = 10979016048000. Its totient is φ = 964305616896.

The previous prime is 3267834886633. The next prime is 3267834886669. The reversal of 3267834886656 is 6566884387623.

3267834886656 is a `hidden beast` number, since 3 + 2 + 6 + 7 + 83 + 488 + 6 + 65 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9363423570 + ... + 9363423918.

It is an arithmetic number, because the mean of its divisors is an integer number (11436475050).

Almost surely, 2^{3267834886656} is an apocalyptic number.

3267834886656 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3267834886656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5489508024000).

3267834886656 is an abundant number, since it is smaller than the sum of its proper divisors (7711181161344).

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

3267834886656 is a wasteful number, since it uses less digits than its factorization.

3267834886656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 651 (or 623 counting only the distinct ones).

The product of its digits is 1672151040, while the sum is 72.

The spelling of 3267834886656 in words is "three trillion, two hundred sixty-seven billion, eight hundred thirty-four million, eight hundred eighty-six thousand, six hundred fifty-six".