34893542100 has 216 divisors, whose sum is σ = 108125301760. Its totient is φ = 8685895680.

The previous prime is 34893542093. The next prime is 34893542111. The reversal of 34893542100 is 124539843.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 11009316 + ... + 11012484.

Almost surely, 2^34893542100 is an apocalyptic number.

34893542100 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 34893542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54062650880).

34893542100 is an abundant number, since it is smaller than the sum of its proper divisors (73231759660).

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

34893542100 is a wasteful number, since it uses less digits than its factorization.

34893542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3347 (or 3323 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The spelling of 34893542100 in words is "thirty-four billion, eight hundred ninety-three million, five hundred forty-two thousand, one hundred".