34000400407 has 8 divisors (see below), whose sum is σ = 34708164480. Its totient is φ = 33297019320.

The previous prime is 34000400389. The next prime is 34000400437. The reversal of 34000400407 is 70400400043.

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 34000400407 - 2²³ = 33992011799 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34000400437) 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, 1080069 + ... + 1111102.

It is an arithmetic number, because the mean of its divisors is an integer number (4338520560).

Almost surely, 2^34000400407 is an apocalyptic number.

34000400407 is a deficient number, since it is larger than the sum of its proper divisors (707764073).

34000400407 is a wasteful number, since it uses less digits than its factorization.

34000400407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191493.

The product of its (nonzero) digits is 1344, while the sum is 22.

The spelling of 34000400407 in words is "thirty-four billion, four hundred thousand, four hundred seven".