34348769280 has 1344 divisors, whose sum is σ = 154571639040. Its totient is φ = 7134511104.

The previous prime is 34348769267. The next prime is 34348769281. The reversal of 34348769280 is 8296784343.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-3 number, since 3×34348769280³ (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34348769281) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1184440306 + ... + 1184440334.

It is an arithmetic number, because the mean of its divisors is an integer number (115008660).

Almost surely, 2^34348769280 is an apocalyptic number.

34348769280 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 34348769280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77285819520).

34348769280 is an abundant number, since it is smaller than the sum of its proper divisors (120222869760).

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

34348769280 is an equidigital number, since it uses as much as digits as its factorization.

34348769280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 54.

The spelling of 34348769280 in words is "thirty-four billion, three hundred forty-eight million, seven hundred sixty-nine thousand, two hundred eighty".