3345879940000 has 240 divisors, whose sum is σ = 8879341457448. Its totient is φ = 1233340416000.

The previous prime is 3345879939991. The next prime is 3345879940001. The reversal of 3345879940000 is 499785433.

It can be written as a sum of positive squares in 20 ways, for example, as 1929998891536 + 1415881048464 = 1389244^2 + 1189908^2 .

It is a super-2 number, since 2×3345879940000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a self number, because there is not a number n which added to its sum of digits gives 3345879940000.

It is not an unprimeable number, because it can be changed into a prime (3345879940001) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 160409572 + ... + 160430428.

Almost surely, 2^{3345879940000} 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 3345879940000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439670728724).

3345879940000 is an abundant number, since it is smaller than the sum of its proper divisors (5533461517448).

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

3345879940000 is a wasteful number, since it uses less digits than its factorization.

3345879940000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21517 (or 21494 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 52.

The spelling of 3345879940000 in words is "three trillion, three hundred forty-five billion, eight hundred seventy-nine million, nine hundred forty thousand".