34381434420 has 192 divisors, whose sum is σ = 112752057600. Its totient is φ = 8673661440.

The previous prime is 34381434403. The next prime is 34381434421. The reversal of 34381434420 is 2443418343.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34381434421) 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, 8996110 + ... + 8999930.

It is an arithmetic number, because the mean of its divisors is an integer number (587250300).

Almost surely, 2^34381434420 is an apocalyptic number.

34381434420 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 34381434420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56376028800).

34381434420 is an abundant number, since it is smaller than the sum of its proper divisors (78370623180).

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

34381434420 is a wasteful number, since it uses less digits than its factorization.

34381434420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4735 (or 4727 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

The spelling of 34381434420 in words is "thirty-four billion, three hundred eighty-one million, four hundred thirty-four thousand, four hundred twenty".