34905482229072 has 320 divisors, whose sum is σ = 114588576972800. Its totient is φ = 8906779699200.

The previous prime is 34905482229071. The next prime is 34905482229077. The reversal of 34905482229072 is 27092228450943.

It is a super-2 number, since 2×34905482229072² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34905482229071) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 621630054 + ... + 621686202.

It is an arithmetic number, because the mean of its divisors is an integer number (358089303040).

Almost surely, 2^{34905482229072} 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 34905482229072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57294288486400).

34905482229072 is an abundant number, since it is smaller than the sum of its proper divisors (79683094743728).

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

34905482229072 is a wasteful number, since it uses less digits than its factorization.

34905482229072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60802 (or 60796 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 57.

The spelling of 34905482229072 in words is "thirty-four trillion, nine hundred five billion, four hundred eighty-two million, two hundred twenty-nine thousand, seventy-two".