34413432420 has 96 divisors (see below), whose sum is σ = 97948085760. Its totient is φ = 9026519040.

The previous prime is 34413432419. The next prime is 34413432421. The reversal of 34413432420 is 2423431443.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34413432419) and next prime (34413432421).

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

It is not an unprimeable number, because it can be changed into a prime (34413432421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1013925 + ... + 1047315.

It is an arithmetic number, because the mean of its divisors is an integer number (1020292560).

Almost surely, 2^34413432420 is an apocalyptic number.

34413432420 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 34413432420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48974042880).

34413432420 is an abundant number, since it is smaller than the sum of its proper divisors (63534653340).

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

34413432420 is a wasteful number, since it uses less digits than its factorization.

34413432420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33685 (or 33683 counting only the distinct ones).

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

Adding to 34413432420 its reverse (2423431443), we get a palindrome (36836863863).

The spelling of 34413432420 in words is "thirty-four billion, four hundred thirteen million, four hundred thirty-two thousand, four hundred twenty".