3354313714944 has 288 divisors, whose sum is σ = 9284804788224. Its totient is φ = 1073910251520.

The previous prime is 3354313714943. The next prime is 3354313714979. The reversal of 3354313714944 is 4494173134533.

It is a super-2 number, since 2×3354313714944² (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 (3354313714943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3781638469 + ... + 3781639355.

Almost surely, 2^{3354313714944} 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 3354313714944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4642402394112).

3354313714944 is an abundant number, since it is smaller than the sum of its proper divisors (5930491073280).

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

3354313714944 is a wasteful number, since it uses less digits than its factorization.

3354313714944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1953 (or 1939 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 51.

The spelling of 3354313714944 in words is "three trillion, three hundred fifty-four billion, three hundred thirteen million, seven hundred fourteen thousand, nine hundred forty-four".