34059739680 has 192 divisors, whose sum is σ = 123055027200. Its totient is φ = 8789575680.

The previous prime is 34059739661. The next prime is 34059739687. The reversal of 34059739680 is 8693795043.

34059739680 is a `hidden beast` number, since 3 + 40 + 597 + 3 + 9 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34059739687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6756 + ... + 261084.

It is an arithmetic number, because the mean of its divisors is an integer number (640911600).

Almost surely, 2^34059739680 is an apocalyptic number.

34059739680 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 34059739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61527513600).

34059739680 is an abundant number, since it is smaller than the sum of its proper divisors (88995287520).

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

34059739680 is a wasteful number, since it uses less digits than its factorization.

34059739680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 254384 (or 254370 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 34059739680 in words is "thirty-four billion, fifty-nine million, seven hundred thirty-nine thousand, six hundred eighty".