34724273850 has 288 divisors, whose sum is σ = 109270387200. Its totient is φ = 7902437760.

The previous prime is 34724273849. The next prime is 34724273873. The reversal of 34724273850 is 5837242743.

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 = 34724273796 and 34724273805.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 56646144 + ... + 56646756.

Almost surely, 2^34724273850 is an apocalyptic number.

34724273850 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 34724273850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54635193600).

34724273850 is an abundant number, since it is smaller than the sum of its proper divisors (74546113350).

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

34724273850 is a wasteful number, since it uses less digits than its factorization.

34724273850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1019 (or 997 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 34724273850 in words is "thirty-four billion, seven hundred twenty-four million, two hundred seventy-three thousand, eight hundred fifty".