3342180690 has 112 divisors (see below), whose sum is σ = 9331378200. Its totient is φ = 860461056.

The previous prime is 3342180683. The next prime is 3342180691. The reversal of 3342180690 is 960812433.

It can be written as a sum of positive squares in 4 ways, for example, as 1794623769 + 1547556921 = 42363^2 + 39339^2 .

It is a super-3 number, since 3×3342180690³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (3342180691) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 203506 + ... + 219314.

Almost surely, 2^3342180690 is an apocalyptic number.

3342180690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3342180690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4665689100).

3342180690 is an abundant number, since it is smaller than the sum of its proper divisors (5989197510).

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

3342180690 is a wasteful number, since it uses less digits than its factorization.

3342180690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15863 (or 15848 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 3342180690 is about 57811.5965010481. The cubic root of 3342180690 is about 1495.1220341616.

The spelling of 3342180690 in words is "three billion, three hundred forty-two million, one hundred eighty thousand, six hundred ninety".