3365016738336 has 192 divisors, whose sum is σ = 10728172707840. Its totient is φ = 1017673355520.

The previous prime is 3365016738323. The next prime is 3365016738361. The reversal of 3365016738336 is 6338376105633.

3365016738336 is a `hidden beast` number, since 3 + 36 + 501 + 6 + 73 + 8 + 3 + 36 = 666.

It is a super-2 number, since 2×3365016738336² (a number of 26 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4428561 + ... + 5132463.

It is an arithmetic number, because the mean of its divisors is an integer number (55875899520).

Almost surely, 2^{3365016738336} is an apocalyptic number.

3365016738336 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 3365016738336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5364086353920).

3365016738336 is an abundant number, since it is smaller than the sum of its proper divisors (7363155969504).

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

3365016738336 is a wasteful number, since it uses less digits than its factorization.

3365016738336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 704436 (or 704422 counting only the distinct ones).

The product of its (nonzero) digits is 14696640, while the sum is 54.

The spelling of 3365016738336 in words is "three trillion, three hundred sixty-five billion, sixteen million, seven hundred thirty-eight thousand, three hundred thirty-six".