34883721900 has 144 divisors (see below), whose sum is σ = 113564953600. Its totient is φ = 9184518720.

The previous prime is 34883721877. The next prime is 34883721913. The reversal of 34883721900 is 912738843.

It is a super-2 number, since 2×34883721900² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 131529 + ... + 295071.

Almost surely, 2^34883721900 is an apocalyptic number.

34883721900 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 34883721900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56782476800).

34883721900 is an abundant number, since it is smaller than the sum of its proper divisors (78681231700).

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

34883721900 is a wasteful number, since it uses less digits than its factorization.

34883721900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163645 (or 163632 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 34883721900 in words is "thirty-four billion, eight hundred eighty-three million, seven hundred twenty-one thousand, nine hundred".