34364352 has 112 divisors (see below), whose sum is σ = 101388672. Its totient is φ = 10183680.

The previous prime is 34364347. The next prime is 34364357. The reversal of 34364352 is 25346343.

It is an interprime number because it is at equal distance from previous prime (34364347) and next prime (34364357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34364357) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111783 + ... + 112089.

It is an arithmetic number, because the mean of its divisors is an integer number (905256).

Almost surely, 2^34364352 is an apocalyptic number.

34364352 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 34364352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50694336).

34364352 is an abundant number, since it is smaller than the sum of its proper divisors (67024320).

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

34364352 is a wasteful number, since it uses less digits than its factorization.

34364352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386 (or 376 counting only the distinct ones).

The product of its digits is 25920, while the sum is 30.

The square root of 34364352 is about 5862.1115649568. Note that the first 3 decimals coincide. The cubic root of 34364352 is about 325.1142856452.

Subtracting from 34364352 its reverse (25346343), we obtain a square (9018009 = 3003²).

It can be divided in two parts, 34364 and 352, that added together give a triangular number (34716 = T₂₆₃).

The spelling of 34364352 in words is "thirty-four million, three hundred sixty-four thousand, three hundred fifty-two".