3344895734400 has 1152 divisors, whose sum is σ = 13890802598400. Its totient is φ = 784650240000.

The previous prime is 3344895734393. The next prime is 3344895734443. The reversal of 3344895734400 is 44375984433.

It is a happy number.

3344895734400 is a `hidden beast` number, since 3 + 3 + 4 + 48 + 95 + 73 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×3344895734400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 324081240 + ... + 324091560.

Almost surely, 2^{3344895734400} is an apocalyptic number.

3344895734400 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 3344895734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6945401299200).

3344895734400 is an abundant number, since it is smaller than the sum of its proper divisors (10545906864000).

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

3344895734400 is a wasteful number, since it uses less digits than its factorization.

3344895734400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10407 (or 10373 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3344895734400 in words is "three trillion, three hundred forty-four billion, eight hundred ninety-five million, seven hundred thirty-four thousand, four hundred".