34066713420 has 144 divisors (see below), whose sum is σ = 104602784832. Its totient is φ = 8973619200.

The previous prime is 34066713397. The next prime is 34066713431. The reversal of 34066713420 is 2431766043.

It is a happy number.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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 47 ways as a sum of consecutive naturals, for example, 6363745 + ... + 6369095.

It is an arithmetic number, because the mean of its divisors is an integer number (726408228).

Almost surely, 2^34066713420 is an apocalyptic number.

34066713420 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 34066713420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52301392416).

34066713420 is an abundant number, since it is smaller than the sum of its proper divisors (70536071412).

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

34066713420 is a wasteful number, since it uses less digits than its factorization.

34066713420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5787 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 34066713420 in words is "thirty-four billion, sixty-six million, seven hundred thirteen thousand, four hundred twenty".