3338771747616 has 144 divisors (see below), whose sum is σ = 9599286086208. Its totient is φ = 1100681280000.

The previous prime is 3338771747593. The next prime is 3338771747653. The reversal of 3338771747616 is 6167471778333.

3338771747616 is a `hidden beast` number, since 3 + 3 + 3 + 8 + 7 + 7 + 1 + 7 + 4 + 7 + 616 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×3338771747616² (a number of 26 digits) contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 26319541 + ... + 26446091.

It is an arithmetic number, because the mean of its divisors is an integer number (66661708932).

Almost surely, 2^{3338771747616} is an apocalyptic number.

3338771747616 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 3338771747616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4799643043104).

3338771747616 is an abundant number, since it is smaller than the sum of its proper divisors (6260514338592).

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

3338771747616 is a wasteful number, since it uses less digits than its factorization.

3338771747616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127575 (or 127564 counting only the distinct ones).

The product of its digits is 74680704, while the sum is 63.

The spelling of 3338771747616 in words is "three trillion, three hundred thirty-eight billion, seven hundred seventy-one million, seven hundred forty-seven thousand, six hundred sixteen".