3358036294144 has 160 divisors (see below), whose sum is σ = 7919493120000. Its totient is φ = 1392008785920.

The previous prime is 3358036294037. The next prime is 3358036294157. The reversal of 3358036294144 is 4414926308533.

It is a super-2 number, since 2×3358036294144² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3358036294091 and 3358036294100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 248755107 + ... + 248768605.

It is an arithmetic number, because the mean of its divisors is an integer number (49496832000).

Almost surely, 2^{3358036294144} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3358036294144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3959746560000).

3358036294144 is an abundant number, since it is smaller than the sum of its proper divisors (4561456825856).

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

3358036294144 is a wasteful number, since it uses less digits than its factorization.

3358036294144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15794 (or 15778 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 52.

The spelling of 3358036294144 in words is "three trillion, three hundred fifty-eight billion, thirty-six million, two hundred ninety-four thousand, one hundred forty-four".