3367662667632 has 240 divisors, whose sum is σ = 10113473410560. Its totient is φ = 1043369952768.

The previous prime is 3367662667627. The next prime is 3367662667657. The reversal of 3367662667632 is 2367662667633.

3367662667632 is a `hidden beast` number, since 3 + 367 + 6 + 6 + 266 + 7 + 6 + 3 + 2 = 666.

It is a super-2 number, since 2×3367662667632² (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 3367662667632.

It is a congruent number.

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, 96424669 + ... + 96459587.

It is an arithmetic number, because the mean of its divisors is an integer number (42139472544).

Almost surely, 2^{3367662667632} 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 3367662667632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5056736705280).

3367662667632 is an abundant number, since it is smaller than the sum of its proper divisors (6745810742928).

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

3367662667632 is a wasteful number, since it uses less digits than its factorization.

3367662667632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35780 (or 35771 counting only the distinct ones).

The product of its digits is 246903552, while the sum is 63.

Subtracting from 3367662667632 its reverse (2367662667633), we obtain a palindrome (999999999999).

The spelling of 3367662667632 in words is "three trillion, three hundred sixty-seven billion, six hundred sixty-two million, six hundred sixty-seven thousand, six hundred thirty-two".