34152406401 has 8 divisors (see below), whose sum is σ = 45548606880. Its totient is φ = 22762238432.

The previous prime is 34152406397. The next prime is 34152406417. The reversal of 34152406401 is 10460425143.

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

It is a cyclic number.

It is not a de Polignac number, because 34152406401 - 2² = 34152406397 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34152406441) by changing a digit.

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, 1494900 + ... + 1517573.

It is an arithmetic number, because the mean of its divisors is an integer number (5693575860).

Almost surely, 2^34152406401 is an apocalyptic number.

It is an amenable number.

34152406401 is a deficient number, since it is larger than the sum of its proper divisors (11396200479).

34152406401 is a wasteful number, since it uses less digits than its factorization.

34152406401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3016255.

The product of its (nonzero) digits is 11520, while the sum is 30.

The spelling of 34152406401 in words is "thirty-four billion, one hundred fifty-two million, four hundred six thousand, four hundred one".