3430346526321 has 64 divisors (see below), whose sum is σ = 5427647447040. Its totient is φ = 1899718698240.

The previous prime is 3430346526319. The next prime is 3430346526331. The reversal of 3430346526321 is 1236256430343.

It is not a de Polignac number, because 3430346526321 - 2¹ = 3430346526319 is a prime.

It is a super-3 number, since 3×3430346526321³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (3430346526301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 128526640 + ... + 128553326.

It is an arithmetic number, because the mean of its divisors is an integer number (84806991360).

Almost surely, 2^{3430346526321} is an apocalyptic number.

It is an amenable number.

3430346526321 is a deficient number, since it is larger than the sum of its proper divisors (1997300920719).

3430346526321 is a wasteful number, since it uses less digits than its factorization.

3430346526321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29726.

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 3430346526321 in words is "three trillion, four hundred thirty billion, three hundred forty-six million, five hundred twenty-six thousand, three hundred twenty-one".