3344376840800 has 72 divisors (see below), whose sum is σ = 8354331210456. Its totient is φ = 1306640240640.

The previous prime is 3344376840713. The next prime is 3344376840823. The reversal of 3344376840800 is 80486734433.

It is a super-2 number, since 2×3344376840800² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48575729 + ... + 48644528.

It is an arithmetic number, because the mean of its divisors is an integer number (116032377923).

Almost surely, 2^{3344376840800} is an apocalyptic number.

It is an amenable number.

3344376840800 is an abundant number, since it is smaller than the sum of its proper divisors (5009954369656).

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

3344376840800 is a wasteful number, since it uses less digits than its factorization.

3344376840800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97220320 (or 97220307 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 50.

The spelling of 3344376840800 in words is "three trillion, three hundred forty-four billion, three hundred seventy-six million, eight hundred forty thousand, eight hundred".