34709263680 has 672 divisors, whose sum is σ = 139225080960. Its totient is φ = 7261470720.

The previous prime is 34709263649. The next prime is 34709263811. The reversal of 34709263680 is 8636290743.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129030586 + ... + 129030854.

It is an arithmetic number, because the mean of its divisors is an integer number (207180180).

Almost surely, 2^34709263680 is an apocalyptic number.

34709263680 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 34709263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69612540480).

34709263680 is an abundant number, since it is smaller than the sum of its proper divisors (104515817280).

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

34709263680 is a wasteful number, since it uses less digits than its factorization.

34709263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 48.

The spelling of 34709263680 in words is "thirty-four billion, seven hundred nine million, two hundred sixty-three thousand, six hundred eighty".