3302240314140 has 480 divisors, whose sum is σ = 11022675048000. Its totient is φ = 826007777280.

The previous prime is 3302240314133. The next prime is 3302240314183. The reversal of 3302240314140 is 414130422033.

3302240314140 is a `hidden beast` number, since 3 + 3 + 0 + 2 + 240 + 3 + 1 + 414 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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 159 ways as a sum of consecutive naturals, for example, 1823433835 + ... + 1823435645.

It is an arithmetic number, because the mean of its divisors is an integer number (22963906350).

Almost surely, 2^{3302240314140} is an apocalyptic number.

3302240314140 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 3302240314140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5511337524000).

3302240314140 is an abundant number, since it is smaller than the sum of its proper divisors (7720434733860).

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

3302240314140 is a wasteful number, since it uses less digits than its factorization.

3302240314140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2947 (or 2936 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 3302240314140 its reverse (414130422033), we get a palindrome (3716370736173).

The spelling of 3302240314140 in words is "three trillion, three hundred two billion, two hundred forty million, three hundred fourteen thousand, one hundred forty".