3353260978816 has 256 divisors, whose sum is σ = 8006851814400. Its totient is φ = 1369232916480.

The previous prime is 3353260978807. The next prime is 3353260978817. The reversal of 3353260978816 is 6188790623533.

It is a super-4 number, since 4×3353260978816⁴ (a number of 51 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (61).

It is not an unprimeable number, because it can be changed into a prime (3353260978817) 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, 228837346 + ... + 228851998.

It is an arithmetic number, because the mean of its divisors is an integer number (31276764900).

Almost surely, 2^{3353260978816} 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 3353260978816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4003425907200).

3353260978816 is an abundant number, since it is smaller than the sum of its proper divisors (4653590835584).

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

3353260978816 is a wasteful number, since it uses less digits than its factorization.

3353260978816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14867 (or 14855 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 61.

The spelling of 3353260978816 in words is "three trillion, three hundred fifty-three billion, two hundred sixty million, nine hundred seventy-eight thousand, eight hundred sixteen".