34786808100 has 288 divisors, whose sum is σ = 125938606080. Its totient is φ = 8160912000.

The previous prime is 34786808083. The next prime is 34786808113. The reversal of 34786808100 is 180868743.

It is a super-2 number, since 2×34786808100² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 901809 + ... + 939591.

Almost surely, 2^34786808100 is an apocalyptic number.

34786808100 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 34786808100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62969303040).

34786808100 is an abundant number, since it is smaller than the sum of its proper divisors (91151797980).

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

34786808100 is a wasteful number, since it uses less digits than its factorization.

34786808100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37848 (or 37835 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 34786808100 in words is "thirty-four billion, seven hundred eighty-six million, eight hundred eight thousand, one hundred".