3416623727616 has 264 divisors, whose sum is σ = 10771730015904. Its totient is φ = 1034431856640.

The previous prime is 3416623727611. The next prime is 3416623727687. The reversal of 3416623727616 is 6167273266143.

3416623727616 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 623 + 7 + 2 + 7 + 6 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×3416623727616² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3416623727611) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 120319116 + ... + 120347508.

It is an arithmetic number, because the mean of its divisors is an integer number (40802007636).

Almost surely, 2^{3416623727616} is an apocalyptic number.

3416623727616 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 3416623727616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5385865007952).

3416623727616 is an abundant number, since it is smaller than the sum of its proper divisors (7355106288288).

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

3416623727616 is a wasteful number, since it uses less digits than its factorization.

3416623727616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29617 (or 29596 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 3416623727616 in words is "three trillion, four hundred sixteen billion, six hundred twenty-three million, seven hundred twenty-seven thousand, six hundred sixteen".