34743670080 has 224 divisors, whose sum is σ = 127953186816. Its totient is φ = 7822780416.

The previous prime is 34743670057. The next prime is 34743670109. The reversal of 34743670080 is 8007634743.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×34743670080² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 411657 + ... + 488823.

It is an arithmetic number, because the mean of its divisors is an integer number (571219584).

Almost surely, 2^34743670080 is an apocalyptic number.

34743670080 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 34743670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63976593408).

34743670080 is an abundant number, since it is smaller than the sum of its proper divisors (93209516736).

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

34743670080 is a wasteful number, since it uses less digits than its factorization.

34743670080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77261 (or 77251 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 42.

The spelling of 34743670080 in words is "thirty-four billion, seven hundred forty-three million, six hundred seventy thousand, eighty".