34257783750 has 160 divisors (see below), whose sum is σ = 95427953280. Its totient is φ = 8145216000.

The previous prime is 34257783743. The next prime is 34257783809. The reversal of 34257783750 is 5738775243.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a junction number, because it is equal to n+sod(n) for n = 34257783693 and 34257783702.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1197109 + ... + 1225391.

It is an arithmetic number, because the mean of its divisors is an integer number (596424708).

Almost surely, 2^34257783750 is an apocalyptic number.

34257783750 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 34257783750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47713976640).

34257783750 is an abundant number, since it is smaller than the sum of its proper divisors (61170169530).

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

34257783750 is a wasteful number, since it uses less digits than its factorization.

34257783750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28344 (or 28329 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 51.

The spelling of 34257783750 in words is "thirty-four billion, two hundred fifty-seven million, seven hundred eighty-three thousand, seven hundred fifty".