34213952 has 56 divisors (see below), whose sum is σ = 70469760. Its totient is φ = 16473600.

The previous prime is 34213951. The next prime is 34213961. The reversal of 34213952 is 25931243.

It is a super-2 number, since 2×34213952² = 2341189022916608, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34213951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 338702 + ... + 338802.

Almost surely, 2^34213952 is an apocalyptic number.

34213952 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 34213952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35234880).

34213952 is an abundant number, since it is smaller than the sum of its proper divisors (36255808).

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

34213952 is a wasteful number, since it uses less digits than its factorization.

34213952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 249 counting only the distinct ones).

The product of its digits is 6480, while the sum is 29.

The square root of 34213952 is about 5849.2693560820. The cubic root of 34213952 is about 324.6392905354.

The spelling of 34213952 in words is "thirty-four million, two hundred thirteen thousand, nine hundred fifty-two".