35220790200 has 192 divisors, whose sum is σ = 115117632000. Its totient is φ = 8883440640.

The previous prime is 35220790177. The next prime is 35220790201. The reversal of 35220790200 is 209702253.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35220790201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8194452 + ... + 8198748.

It is an arithmetic number, because the mean of its divisors is an integer number (599571000).

Almost surely, 2^35220790200 is an apocalyptic number.

35220790200 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 35220790200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57558816000).

35220790200 is an abundant number, since it is smaller than the sum of its proper divisors (79896841800).

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

35220790200 is a wasteful number, since it uses less digits than its factorization.

35220790200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054 (or 5045 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 35220790200 in words is "thirty-five billion, two hundred twenty million, seven hundred ninety thousand, two hundred".