34921800690 has 480 divisors, whose sum is σ = 110645326080. Its totient is φ = 7027098624.

The previous prime is 34921800689. The next prime is 34921800691. The reversal of 34921800690 is 9600812943.

It is an interprime number because it is at equal distance from previous prime (34921800689) and next prime (34921800691).

It is a super-2 number, since 2×34921800690² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (34921800691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 442048071 + ... + 442048149.

It is an arithmetic number, because the mean of its divisors is an integer number (230511096).

Almost surely, 2^34921800690 is an apocalyptic number.

34921800690 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34921800690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55322663040).

34921800690 is an abundant number, since it is smaller than the sum of its proper divisors (75723525390).

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

34921800690 is a wasteful number, since it uses less digits than its factorization.

34921800690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 34921800690 in words is "thirty-four billion, nine hundred twenty-one million, eight hundred thousand, six hundred ninety".