34842494250 has 192 divisors, whose sum is σ = 99369728640. Its totient is φ = 9132912000.

The previous prime is 34842494243. The next prime is 34842494263. The reversal of 34842494250 is 5249424843.

34842494250 is a `hidden beast` number, since 34 + 84 + 2 + 494 + 2 + 50 = 666.

It is a super-3 number, since 3×34842494250³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 34842494196 and 34842494205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3579390 + ... + 3589110.

It is an arithmetic number, because the mean of its divisors is an integer number (517550670).

Almost surely, 2^34842494250 is an apocalyptic number.

34842494250 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 34842494250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49684864320).

34842494250 is an abundant number, since it is smaller than the sum of its proper divisors (64527234390).

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

34842494250 is an equidigital number, since it uses as much as digits as its factorization.

34842494250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9812 (or 9790 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 34842494250 in words is "thirty-four billion, eight hundred forty-two million, four hundred ninety-four thousand, two hundred fifty".