34848746100 has 864 divisors, whose sum is σ = 139641062400. Its totient is φ = 7417267200.

The previous prime is 34848746081. The next prime is 34848746137. The reversal of 34848746100 is 164784843.

34848746100 is a `hidden beast` number, since 34 + 84 + 87 + 461 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 118937554 + ... + 118937846.

It is an arithmetic number, because the mean of its divisors is an integer number (161621600).

Almost surely, 2^34848746100 is an apocalyptic number.

34848746100 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 34848746100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69820531200).

34848746100 is an abundant number, since it is smaller than the sum of its proper divisors (104792316300).

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

34848746100 is a wasteful number, since it uses less digits than its factorization.

34848746100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 34848746100 in words is "thirty-four billion, eight hundred forty-eight million, seven hundred forty-six thousand, one hundred".