34141983720 has 256 divisors, whose sum is σ = 112223543040. Its totient is φ = 8259330048.

The previous prime is 34141983647. The next prime is 34141983731. The reversal of 34141983720 is 2738914143.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22867294 + ... + 22868786.

It is an arithmetic number, because the mean of its divisors is an integer number (438373215).

Almost surely, 2^34141983720 is an apocalyptic number.

34141983720 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 34141983720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56111771520).

34141983720 is an abundant number, since it is smaller than the sum of its proper divisors (78081559320).

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

34141983720 is a wasteful number, since it uses less digits than its factorization.

34141983720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1764 (or 1760 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 34141983720 in words is "thirty-four billion, one hundred forty-one million, nine hundred eighty-three thousand, seven hundred twenty".