3320142777000 has 768 divisors, whose sum is σ = 13323843187200. Its totient is φ = 757544140800.

The previous prime is 3320142776999. The next prime is 3320142777013. The reversal of 3320142777000 is 7772410233.

It is a happy number.

It is a super-4 number, since 4×3320142777000⁴ (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 (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1206007624 + ... + 1206010376.

It is an arithmetic number, because the mean of its divisors is an integer number (17348754150).

Almost surely, 2^{3320142777000} is an apocalyptic number.

3320142777000 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 3320142777000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6661921593600).

3320142777000 is an abundant number, since it is smaller than the sum of its proper divisors (10003700410200).

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

3320142777000 is a wasteful number, since it uses less digits than its factorization.

3320142777000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3505 (or 3479 counting only the distinct ones).

The product of its (nonzero) digits is 49392, while the sum is 36.

The spelling of 3320142777000 in words is "three trillion, three hundred twenty billion, one hundred forty-two million, seven hundred seventy-seven thousand".