34125946401 has 8 divisors (see below), whose sum is σ = 45506010304. Its totient is φ = 22748256720.

The previous prime is 34125946391. The next prime is 34125946403. The reversal of 34125946401 is 10464952143.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34125946401 - 2¹⁰ = 34125945377 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34125946401.

It is not an unprimeable number, because it can be changed into a prime (34125946403) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 559741 + ... + 617706.

It is an arithmetic number, because the mean of its divisors is an integer number (5688251288).

Almost surely, 2^34125946401 is an apocalyptic number.

It is an amenable number.

34125946401 is a deficient number, since it is larger than the sum of its proper divisors (11380063903).

34125946401 is a wasteful number, since it uses less digits than its factorization.

34125946401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1187111.

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 34125946401 in words is "thirty-four billion, one hundred twenty-five million, nine hundred forty-six thousand, four hundred one".