34220500413 has 48 divisors (see below), whose sum is σ = 51422226240. Its totient is φ = 20216528640.

The previous prime is 34220500403. The next prime is 34220500423. The reversal of 34220500413 is 31400502243.

It is an interprime number because it is at equal distance from previous prime (34220500403) and next prime (34220500423).

It is not a de Polignac number, because 34220500413 - 2⁴ = 34220500397 is a prime.

It is a super-2 number, since 2×34220500413² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34220500403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8879595 + ... + 8883447.

It is an arithmetic number, because the mean of its divisors is an integer number (1071296380).

Almost surely, 2^34220500413 is an apocalyptic number.

34220500413 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

34220500413 is a deficient number, since it is larger than the sum of its proper divisors (17201725827).

34220500413 is a wasteful number, since it uses less digits than its factorization.

34220500413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4490 (or 4479 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The spelling of 34220500413 in words is "thirty-four billion, two hundred twenty million, five hundred thousand, four hundred thirteen".