34901020200 has 192 divisors, whose sum is σ = 114032433600. Its totient is φ = 8805888000.

The previous prime is 34901020171. The next prime is 34901020207. The reversal of 34901020200 is 202010943.

It is a super-2 number, since 2×34901020200² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34901020207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12458800 + ... + 12461600.

It is an arithmetic number, because the mean of its divisors is an integer number (593918925).

Almost surely, 2^34901020200 is an apocalyptic number.

34901020200 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 34901020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57016216800).

34901020200 is an abundant number, since it is smaller than the sum of its proper divisors (79131413400).

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

34901020200 is a wasteful number, since it uses less digits than its factorization.

34901020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3932 (or 3923 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The spelling of 34901020200 in words is "thirty-four billion, nine hundred one million, twenty thousand, two hundred".