34037952 has 84 divisors (see below), whose sum is σ = 97612200. Its totient is φ = 10463232.

The previous prime is 34037951. The next prime is 34037957. The reversal of 34037952 is 25973043.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (34037951) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31924 + ... + 32972.

It is an arithmetic number, because the mean of its divisors is an integer number (1162050).

Almost surely, 2^34037952 is an apocalyptic number.

34037952 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 34037952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48806100).

34037952 is an abundant number, since it is smaller than the sum of its proper divisors (63574248).

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

34037952 is a wasteful number, since it uses less digits than its factorization.

34037952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090 (or 1067 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The square root of 34037952 is about 5834.2053443464. The cubic root of 34037952 is about 324.0816742733.

The spelling of 34037952 in words is "thirty-four million, thirty-seven thousand, nine hundred fifty-two".