34788103056 has 120 divisors (see below), whose sum is σ = 111456259200. Its totient is φ = 9922526208.

The previous prime is 34788103043. The next prime is 34788103057. The reversal of 34788103056 is 65030188743.

It is a super-2 number, since 2×34788103056² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34788103057) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568645 + ... + 626843.

It is an arithmetic number, because the mean of its divisors is an integer number (928802160).

Almost surely, 2^34788103056 is an apocalyptic number.

34788103056 is a gapful number since it is divisible by the number (36) 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 34788103056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55728129600).

34788103056 is an abundant number, since it is smaller than the sum of its proper divisors (76668156144).

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

34788103056 is a wasteful number, since it uses less digits than its factorization.

34788103056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58813 (or 58804 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 34788103056 in words is "thirty-four billion, seven hundred eighty-eight million, one hundred three thousand, fifty-six".