34122220407 has 64 divisors (see below), whose sum is σ = 55528934400. Its totient is φ = 20537504640.

The previous prime is 34122220399. The next prime is 34122220409. The reversal of 34122220407 is 70402222143.

34122220407 is a `hidden beast` number, since 34 + 1 + 2 + 2 + 220 + 407 = 666.

It is not a de Polignac number, because 34122220407 - 2³ = 34122220399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34122220409) 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, 38907453 + ... + 38908329.

It is an arithmetic number, because the mean of its divisors is an integer number (867639600).

Almost surely, 2^34122220407 is an apocalyptic number.

34122220407 is a deficient number, since it is larger than the sum of its proper divisors (21406713993).

34122220407 is a wasteful number, since it uses less digits than its factorization.

34122220407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1653 (or 1647 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The spelling of 34122220407 in words is "thirty-four billion, one hundred twenty-two million, two hundred twenty thousand, four hundred seven".