3434152121440 has 384 divisors, whose sum is σ = 8975767127040. Its totient is φ = 1236256358400.

The previous prime is 3434152121429. The next prime is 3434152121489. The reversal of 3434152121440 is 441212514343.

3434152121440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 3434152121396 and 3434152121405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3230622349 + ... + 3230623411.

It is an arithmetic number, because the mean of its divisors is an integer number (23374393560).

Almost surely, 2^{3434152121440} 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 3434152121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4487883563520).

3434152121440 is an abundant number, since it is smaller than the sum of its proper divisors (5541615005600).

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

3434152121440 is a wasteful number, since it uses less digits than its factorization.

3434152121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1686 (or 1678 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

Adding to 3434152121440 its reverse (441212514343), we get a palindrome (3875364635783).

The spelling of 3434152121440 in words is "three trillion, four hundred thirty-four billion, one hundred fifty-two million, one hundred twenty-one thousand, four hundred forty".