34797007100 has 72 divisors (see below), whose sum is σ = 78201328128. Its totient is φ = 13425566400.

The previous prime is 34797007097. The next prime is 34797007103. The reversal of 34797007100 is 170079743.

It is an interprime number because it is at equal distance from previous prime (34797007097) and next prime (34797007103).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34797007103) 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 23 ways as a sum of consecutive naturals, for example, 933419 + ... + 969981.

Almost surely, 2^34797007100 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 34797007100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39100664064).

34797007100 is an abundant number, since it is smaller than the sum of its proper divisors (43404321028).

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

34797007100 is a wasteful number, since it uses less digits than its factorization.

34797007100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36915 (or 36908 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 38.

The spelling of 34797007100 in words is "thirty-four billion, seven hundred ninety-seven million, seven thousand, one hundred".