34906466280 has 128 divisors (see below), whose sum is σ = 120193632000. Its totient is φ = 7944333312.

The previous prime is 34906466267. The next prime is 34906466317. The reversal of 34906466280 is 8266460943.

It is a super-2 number, since 2×34906466280² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106546 + ... + 284894.

It is an arithmetic number, because the mean of its divisors is an integer number (939012750).

Almost surely, 2^34906466280 is an apocalyptic number.

34906466280 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 34906466280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60096816000).

34906466280 is an abundant number, since it is smaller than the sum of its proper divisors (85287165720).

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

34906466280 is a wasteful number, since it uses less digits than its factorization.

34906466280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 178603 (or 178599 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 34906466280 in words is "thirty-four billion, nine hundred six million, four hundred sixty-six thousand, two hundred eighty".