3430413302144 has 64 divisors (see below), whose sum is σ = 6853441077600. Its totient is φ = 1710336798720.

The previous prime is 3430413302123. The next prime is 3430413302161. The reversal of 3430413302144 is 4412033140343.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 3430413302144.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 191516549 + ... + 191534459.

Almost surely, 2^{3430413302144} is an apocalyptic number.

It is an amenable number.

3430413302144 is a deficient number, since it is larger than the sum of its proper divisors (3423027775456).

3430413302144 is a wasteful number, since it uses less digits than its factorization.

3430413302144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22091 (or 22079 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

Adding to 3430413302144 its reverse (4412033140343), we get a palindrome (7842446442487).

The spelling of 3430413302144 in words is "three trillion, four hundred thirty billion, four hundred thirteen million, three hundred two thousand, one hundred forty-four".