3362645010816 has 2304 divisors, whose sum is σ = 13481990645760. Its totient is φ = 824955715584.

The previous prime is 3362645010797. The next prime is 3362645010827. The reversal of 3362645010816 is 6180105462633.

3362645010816 is a `hidden beast` number, since 3 + 3 + 6 + 2 + 64 + 501 + 0 + 81 + 6 = 666.

It is a super-2 number, since 2×3362645010816² (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 21418121010 + ... + 21418121166.

It is an arithmetic number, because the mean of its divisors is an integer number (5851558440).

Almost surely, 2^{3362645010816} is an apocalyptic number.

3362645010816 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 3362645010816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740995322880).

3362645010816 is an abundant number, since it is smaller than the sum of its proper divisors (10119345634944).

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

3362645010816 is a wasteful number, since it uses less digits than its factorization.

3362645010816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283 (or 252 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3362645010816 in words is "three trillion, three hundred sixty-two billion, six hundred forty-five million, ten thousand, eight hundred sixteen".