3344412141432 has 192 divisors, whose sum is σ = 9329006232000. Its totient is φ = 1082390190336.

The previous prime is 3344412141431. The next prime is 3344412141461. The reversal of 3344412141432 is 2341412144433.

3344412141432 is a `hidden beast` number, since 3 + 3 + 4 + 4 + 4 + 1 + 214 + 1 + 432 = 666.

It is a super-2 number, since 2×3344412141432² (a number of 26 digits) contains 22 as substring.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3344412141431) 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, 3059845878 + ... + 3059846970.

It is an arithmetic number, because the mean of its divisors is an integer number (48588574125).

Almost surely, 2^{3344412141432} 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 3344412141432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4664503116000).

3344412141432 is an abundant number, since it is smaller than the sum of its proper divisors (5984594090568).

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

3344412141432 is a wasteful number, since it uses less digits than its factorization.

3344412141432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2055 (or 1974 counting only the distinct ones).

The product of its digits is 110592, while the sum is 36.

Adding to 3344412141432 its reverse (2341412144433), we get a palindrome (5685824285865).

The spelling of 3344412141432 in words is "three trillion, three hundred forty-four billion, four hundred twelve million, one hundred forty-one thousand, four hundred thirty-two".