34920561900 has 576 divisors, whose sum is σ = 129591705600. Its totient is φ = 7072665600.

The previous prime is 34920561889. The next prime is 34920561911. The reversal of 34920561900 is 916502943.

34920561900 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (34920561889) and next prime (34920561911).

It is a super-3 number, since 3×34920561900³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 58297801 + ... + 58298399.

It is an arithmetic number, because the mean of its divisors is an integer number (224985600).

Almost surely, 2^34920561900 is an apocalyptic number.

34920561900 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 34920561900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64795852800).

34920561900 is an abundant number, since it is smaller than the sum of its proper divisors (94671143700).

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

34920561900 is a wasteful number, since it uses less digits than its factorization.

34920561900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The spelling of 34920561900 in words is "thirty-four billion, nine hundred twenty million, five hundred sixty-one thousand, nine hundred".