34114002420 has 48 divisors (see below), whose sum is σ = 95713829568. Its totient is φ = 9078531840.

The previous prime is 34114002383. The next prime is 34114002437. The reversal of 34114002420 is 2420041143.

It is a super-2 number, since 2×34114002420² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 549529 + ... + 608448.

It is an arithmetic number, because the mean of its divisors is an integer number (1994038116).

Almost surely, 2^34114002420 is an apocalyptic number.

34114002420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34114002420 is an abundant number, since it is smaller than the sum of its proper divisors (61599827148).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34114002420 is a wasteful number, since it uses less digits than its factorization.

34114002420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1158480 (or 1158478 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 34114002420 its reverse (2420041143), we get a palindrome (36534043563).

The spelling of 34114002420 in words is "thirty-four billion, one hundred fourteen million, two thousand, four hundred twenty".