34740775680 has 864 divisors, whose sum is σ = 131857818624. Its totient is φ = 7759724544.

The previous prime is 34740775651. The next prime is 34740775687. The reversal of 34740775680 is 8657704743.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34740775687) by changing a digit.

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, 518519007 + ... + 518519073.

It is an arithmetic number, because the mean of its divisors is an integer number (152613216).

Almost surely, 2^34740775680 is an apocalyptic number.

34740775680 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 34740775680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65928909312).

34740775680 is an abundant number, since it is smaller than the sum of its proper divisors (97117042944).

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

34740775680 is a wasteful number, since it uses less digits than its factorization.

34740775680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 51.

The spelling of 34740775680 in words is "thirty-four billion, seven hundred forty million, seven hundred seventy-five thousand, six hundred eighty".