34870752 has 144 divisors (see below), whose sum is σ = 115970400. Its totient is φ = 9934848.

The previous prime is 34870751. The next prime is 34870763. The reversal of 34870752 is 25707843.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34870751) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98608 + ... + 98960.

It is an arithmetic number, because the mean of its divisors is an integer number (805350).

Almost surely, 2^34870752 is an apocalyptic number.

34870752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34870752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57985200).

34870752 is an abundant number, since it is smaller than the sum of its proper divisors (81099648).

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

34870752 is a wasteful number, since it uses less digits than its factorization.

34870752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390 (or 365 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The square root of 34870752 is about 5905.1462301962. The cubic root of 34870752 is about 326.7034879129.

The spelling of 34870752 in words is "thirty-four million, eight hundred seventy thousand, seven hundred fifty-two".