3401144341000 has 96 divisors (see below), whose sum is σ = 9258053851800. Its totient is φ = 1166106614400.

The previous prime is 3401144340983. The next prime is 3401144341019. The reversal of 3401144341000 is 1434411043.

It can be written as a sum of positive squares in 4 ways, for example, as 641751596836 + 2759392744164 = 801094^2 + 1661142^2 .

It is a super-3 number, since 3×3401144341000³ (a number of 39 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34656555 + ... + 34754554.

Almost surely, 2^{3401144341000} is an apocalyptic number.

It is an amenable number.

3401144341000 is an abundant number, since it is smaller than the sum of its proper divisors (5856909510800).

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

3401144341000 is a wasteful number, since it uses less digits than its factorization.

3401144341000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69411144 (or 69411123 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 25.

Adding to 3401144341000 its reverse (1434411043), we get a palindrome (3402578752043).

The spelling of 3401144341000 in words is "three trillion, four hundred one billion, one hundred forty-four million, three hundred forty-one thousand".