34725300750 has 384 divisors, whose sum is σ = 116963758080. Its totient is φ = 7467379200.

The previous prime is 34725300713. The next prime is 34725300773. The reversal of 34725300750 is 5700352743.

34725300750 is a `hidden beast` number, since 3 + 4 + 72 + 530 + 0 + 7 + 50 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 13653979 + ... + 13656521.

It is an arithmetic number, because the mean of its divisors is an integer number (304593120).

Almost surely, 2^34725300750 is an apocalyptic number.

34725300750 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 34725300750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58481879040).

34725300750 is an abundant number, since it is smaller than the sum of its proper divisors (82238457330).

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

34725300750 is a wasteful number, since it uses less digits than its factorization.

34725300750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2610 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 36.

The spelling of 34725300750 in words is "thirty-four billion, seven hundred twenty-five million, three hundred thousand, seven hundred fifty".