3400240232220 has 192 divisors, whose sum is σ = 10653326046720. Its totient is φ = 804559537152.

The previous prime is 3400240232131. The next prime is 3400240232281. The reversal of 3400240232220 is 222320420043.

It is a happy number.

It is a super-2 number, since 2×3400240232220² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4803639 + ... + 5465841.

It is an arithmetic number, because the mean of its divisors is an integer number (55486073160).

Almost surely, 2^{3400240232220} is an apocalyptic number.

3400240232220 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 3400240232220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5326663023360).

3400240232220 is an abundant number, since it is smaller than the sum of its proper divisors (7253085814500).

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

3400240232220 is a wasteful number, since it uses less digits than its factorization.

3400240232220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662484 (or 662482 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 3400240232220 its reverse (222320420043), we get a palindrome (3622560652263).

The spelling of 3400240232220 in words is "three trillion, four hundred billion, two hundred forty million, two hundred thirty-two thousand, two hundred twenty".