3441034131372 has 144 divisors (see below), whose sum is σ = 9095543009280. Its totient is φ = 1095582758400.

The previous prime is 3441034131289. The next prime is 3441034131373. The reversal of 3441034131372 is 2731314301443.

3441034131372 is a `hidden beast` number, since 3 + 4 + 4 + 103 + 413 + 137 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3441034131373) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 373898923 + ... + 373908125.

It is an arithmetic number, because the mean of its divisors is an integer number (63163493120).

Almost surely, 2^{3441034131372} 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 3441034131372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4547771504640).

3441034131372 is an abundant number, since it is smaller than the sum of its proper divisors (5654508877908).

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

3441034131372 is a wasteful number, since it uses less digits than its factorization.

3441034131372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13564 (or 13559 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 3441034131372 in words is "three trillion, four hundred forty-one billion, thirty-four million, one hundred thirty-one thousand, three hundred seventy-two".