3369037142016 has 960 divisors, whose sum is σ = 12573934813440. Its totient is φ = 875012751360.

The previous prime is 3369037141991. The next prime is 3369037142017. The reversal of 3369037142016 is 6102417309633.

It is a super-2 number, since 2×3369037142016² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3369037142017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1011417471 + ... + 1011420801.

It is an arithmetic number, because the mean of its divisors is an integer number (13097848764).

Almost surely, 2^{3369037142016} is an apocalyptic number.

3369037142016 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 3369037142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6286967406720).

3369037142016 is an abundant number, since it is smaller than the sum of its proper divisors (9204897671424).

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

3369037142016 is a wasteful number, since it uses less digits than its factorization.

3369037142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3452 (or 3423 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The spelling of 3369037142016 in words is "three trillion, three hundred sixty-nine billion, thirty-seven million, one hundred forty-two thousand, sixteen".