34314342420 has 96 divisors (see below), whose sum is σ = 98862777216. Its totient is φ = 8886412800.

The previous prime is 34314342397. The next prime is 34314342443. The reversal of 34314342420 is 2424341343.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34314342397) and next prime (34314342443).

It is a super-3 number, since 3×34314342420³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1186735 + ... + 1215305.

It is an arithmetic number, because the mean of its divisors is an integer number (1029820596).

Almost surely, 2^34314342420 is an apocalyptic number.

34314342420 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34314342420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49431388608).

34314342420 is an abundant number, since it is smaller than the sum of its proper divisors (64548434796).

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

34314342420 is a wasteful number, since it uses less digits than its factorization.

34314342420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29161 (or 29159 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 30.

Adding to 34314342420 its reverse (2424341343), we get a palindrome (36738683763).

The spelling of 34314342420 in words is "thirty-four billion, three hundred fourteen million, three hundred forty-two thousand, four hundred twenty".