34757128350 has 432 divisors, whose sum is σ = 114230188800. Its totient is φ = 7833309120.

The previous prime is 34757128327. The next prime is 34757128361. The reversal of 34757128350 is 5382175743.

34757128350 is a `hidden beast` number, since 3 + 4 + 7 + 571 + 28 + 3 + 50 = 666.

It is a super-2 number, since 2×34757128350² (a number of 22 digits) contains 22 as substring.

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 = 34757128296 and 34757128305.

It is a congruent number.

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 215 ways as a sum of consecutive naturals, for example, 47032281 + ... + 47033019.

Almost surely, 2^34757128350 is an apocalyptic number.

34757128350 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 34757128350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57115094400).

34757128350 is an abundant number, since it is smaller than the sum of its proper divisors (79473060450).

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

34757128350 is a wasteful number, since it uses less digits than its factorization.

34757128350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 705600, while the sum is 45.

The spelling of 34757128350 in words is "thirty-four billion, seven hundred fifty-seven million, one hundred twenty-eight thousand, three hundred fifty".