34968221477280 has 1152 divisors, whose sum is σ = 151175390446080. Its totient is φ = 7206134906880.

The previous prime is 34968221477249. The next prime is 34968221477297. The reversal of 34968221477280 is 8277412286943.

It is a happy number.

34968221477280 is a `hidden beast` number, since 3 + 4 + 9 + 6 + 82 + 2 + 1 + 477 + 2 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 952249320 + ... + 952286040.

It is an arithmetic number, because the mean of its divisors is an integer number (131228637540).

Almost surely, 2^{34968221477280} is an apocalyptic number.

34968221477280 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 34968221477280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75587695223040).

34968221477280 is an abundant number, since it is smaller than the sum of its proper divisors (116207168968800).

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

34968221477280 is a wasteful number, since it uses less digits than its factorization.

34968221477280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36831 (or 36794 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 34968221477280 in words is "thirty-four trillion, nine hundred sixty-eight billion, two hundred twenty-one million, four hundred seventy-seven thousand, two hundred eighty".