34861050000 has 1440 divisors, whose sum is σ = 159019822080. Its totient is φ = 7257600000.

The previous prime is 34861049989. The next prime is 34861050001. The reversal of 34861050000 is 5016843.

34861050000 is a `hidden beast` number, since 3 + 48 + 610 + 5 + 0 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (34861050001) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1124549985 + ... + 1124550015.

It is an arithmetic number, because the mean of its divisors is an integer number (110430432).

Almost surely, 2^34861050000 is an apocalyptic number.

34861050000 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 34861050000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79509911040).

34861050000 is an abundant number, since it is smaller than the sum of its proper divisors (124158772080).

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

34861050000 is a wasteful number, since it uses less digits than its factorization.

34861050000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 34861050000 its reverse (5016843), we get a palindrome (34866066843).

The spelling of 34861050000 in words is "thirty-four billion, eight hundred sixty-one million, fifty thousand".