3344725775040 has 1344 divisors, whose sum is σ = 12516701245440. Its totient is φ = 750875443200.

The previous prime is 3344725775033. The next prime is 3344725775107. The reversal of 3344725775040 is 405775274433.

It is a super-2 number, since 2×3344725775040² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 24062775291 + ... + 24062775429.

It is an arithmetic number, because the mean of its divisors is an integer number (9313021760).

Almost surely, 2^{3344725775040} is an apocalyptic number.

3344725775040 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 3344725775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258350622720).

3344725775040 is an abundant number, since it is smaller than the sum of its proper divisors (9171975470400).

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

3344725775040 is a wasteful number, since it uses less digits than its factorization.

3344725775040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 322 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 51.

The spelling of 3344725775040 in words is "three trillion, three hundred forty-four billion, seven hundred twenty-five million, seven hundred seventy-five thousand, forty".