3344700400600 has 96 divisors (see below), whose sum is σ = 8389133061120. Its totient is φ = 1232825425920.

The previous prime is 3344700400583. The next prime is 3344700400609. The reversal of 3344700400600 is 60040074433.

It is a super-2 number, since 2×3344700400600² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344700400609) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 385449 + ... + 2614951.

It is an arithmetic number, because the mean of its divisors is an integer number (87386802720).

Almost surely, 2^{3344700400600} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3344700400600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4194566530560).

3344700400600 is an abundant number, since it is smaller than the sum of its proper divisors (5044432660520).

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

3344700400600 is a wasteful number, since it uses less digits than its factorization.

3344700400600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2230109 (or 2230100 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 31.

The spelling of 3344700400600 in words is "three trillion, three hundred forty-four billion, seven hundred million, four hundred thousand, six hundred".