3320348080140 has 1152 divisors, whose sum is σ = 13108061030400. Its totient is φ = 682999050240.

The previous prime is 3320348080087. The next prime is 3320348080141. The reversal of 3320348080140 is 410808430233.

It is a happy number.

3320348080140 is a `hidden beast` number, since 3 + 32 + 0 + 3 + 480 + 8 + 0 + 140 = 666.

It is a super-2 number, since 2×3320348080140² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3320348080095 and 3320348080104.

It is not an unprimeable number, because it can be changed into a prime (3320348080141) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 5416554474 + ... + 5416555086.

It is an arithmetic number, because the mean of its divisors is an integer number (11378525200).

Almost surely, 2^{3320348080140} is an apocalyptic number.

3320348080140 is a gapful number since it is divisible by the number (30) 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 3320348080140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6554030515200).

3320348080140 is an abundant number, since it is smaller than the sum of its proper divisors (9787712950260).

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

3320348080140 is a wasteful number, since it uses less digits than its factorization.

3320348080140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3320348080140 in words is "three trillion, three hundred twenty billion, three hundred forty-eight million, eighty thousand, one hundred forty".