34688221049040 has 640 divisors, whose sum is σ = 124014807544320. Its totient is φ = 7945297330176.

The previous prime is 34688221049039. The next prime is 34688221049051. The reversal of 34688221049040 is 4094012288643.

34688221049040 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1668574966 + ... + 1668595754.

It is an arithmetic number, because the mean of its divisors is an integer number (193773136788).

Almost surely, 2^{34688221049040} is an apocalyptic number.

34688221049040 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 34688221049040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62007403772160).

34688221049040 is an abundant number, since it is smaller than the sum of its proper divisors (89326586495280).

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

34688221049040 is a wasteful number, since it uses less digits than its factorization.

34688221049040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21191 (or 21185 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 51.

The spelling of 34688221049040 in words is "thirty-four trillion, six hundred eighty-eight billion, two hundred twenty-one million, forty-nine thousand, forty".