34212577360 has 80 divisors (see below), whose sum is σ = 86230730880. Its totient is φ = 12548620800.

The previous prime is 34212577283. The next prime is 34212577381. The reversal of 34212577360 is 6377521243.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×34212577360² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48111 + ... + 265969.

It is an arithmetic number, because the mean of its divisors is an integer number (1077884136).

Almost surely, 2^34212577360 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 34212577360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43115365440).

34212577360 is an abundant number, since it is smaller than the sum of its proper divisors (52018153520).

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

34212577360 is a wasteful number, since it uses less digits than its factorization.

34212577360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218036 (or 218030 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 40.

The spelling of 34212577360 in words is "thirty-four billion, two hundred twelve million, five hundred seventy-seven thousand, three hundred sixty".