34210962688 has 144 divisors (see below), whose sum is σ = 80147692800. Its totient is φ = 14567798784.

The previous prime is 34210962649. The next prime is 34210962713. The reversal of 34210962688 is 88626901243.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14662770 + ... + 14665102.

It is an arithmetic number, because the mean of its divisors is an integer number (556581200).

Almost surely, 2^34210962688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34210962688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40073846400).

34210962688 is an abundant number, since it is smaller than the sum of its proper divisors (45936730112).

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

34210962688 is an equidigital number, since it uses as much as digits as its factorization.

34210962688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2537 (or 2509 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 49.

The spelling of 34210962688 in words is "thirty-four billion, two hundred ten million, nine hundred sixty-two thousand, six hundred eighty-eight".