34705152 has 72 divisors (see below), whose sum is σ = 102649680. Its totient is φ = 11566080.

The previous prime is 34705133. The next prime is 34705159. The reversal of 34705152 is 25150743.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34705159) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4402 + ... + 9422.

It is an arithmetic number, because the mean of its divisors is an integer number (1425690).

Almost surely, 2^34705152 is an apocalyptic number.

34705152 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 34705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51324840).

34705152 is an abundant number, since it is smaller than the sum of its proper divisors (67944528).

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

34705152 is an equidigital number, since it uses as much as digits as its factorization.

34705152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5046 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 34705152 is about 5891.1078754340. The cubic root of 34705152 is about 326.1854992055.

Adding to 34705152 its reverse (25150743), we get a palindrome (59855895).

The spelling of 34705152 in words is "thirty-four million, seven hundred five thousand, one hundred fifty-two".