3434351504001 has 24 divisors (see below), whose sum is σ = 5036663809632. Its totient is φ = 2080019409600.

The previous prime is 3434351503939. The next prime is 3434351504009. The reversal of 3434351504001 is 1004051534343.

It is not a de Polignac number, because 3434351504001 - 2¹⁰ = 3434351502977 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (3434351504009) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2656531 + ... + 3731736.

It is an arithmetic number, because the mean of its divisors is an integer number (209860992068).

Almost surely, 2^{3434351504001} is an apocalyptic number.

It is an amenable number.

3434351504001 is a deficient number, since it is larger than the sum of its proper divisors (1602312305631).

3434351504001 is a wasteful number, since it uses less digits than its factorization.

3434351504001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6389773 (or 6389762 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 33.

The spelling of 3434351504001 in words is "three trillion, four hundred thirty-four billion, three hundred fifty-one million, five hundred four thousand, one".