34350866900 has 180 divisors, whose sum is σ = 88109152320. Its totient is φ = 11621937600.

The previous prime is 34350866881. The next prime is 34350866939. The reversal of 34350866900 is 966805343.

It is a super-2 number, since 2×34350866900² (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 18966995 + ... + 18968805.

Almost surely, 2^34350866900 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34350866900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44054576160).

34350866900 is an abundant number, since it is smaller than the sum of its proper divisors (53758285420).

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

34350866900 is a wasteful number, since it uses less digits than its factorization.

34350866900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1932 (or 1904 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 44.

The spelling of 34350866900 in words is "thirty-four billion, three hundred fifty million, eight hundred sixty-six thousand, nine hundred".