34483066020 has 432 divisors, whose sum is σ = 119458750320. Its totient is φ = 8002215936.

The previous prime is 34483066003. The next prime is 34483066021. The reversal of 34483066020 is 2066038443.

It is a happy number.

34483066020 is a `hidden beast` number, since 3 + 4 + 48 + 3 + 0 + 6 + 602 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 17223412644 + 17259653376 = 131238^2 + 131376^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (34483066021) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110169384 + ... + 110169696.

It is an arithmetic number, because the mean of its divisors is an integer number (276524885).

Almost surely, 2^34483066020 is an apocalyptic number.

34483066020 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 34483066020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59729375160).

34483066020 is an abundant number, since it is smaller than the sum of its proper divisors (84975684300).

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

34483066020 is a wasteful number, since it uses less digits than its factorization.

34483066020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 34483066020 in words is "thirty-four billion, four hundred eighty-three million, sixty-six thousand, twenty".