34076952 has 144 divisors (see below), whose sum is σ = 115773840. Its totient is φ = 8975232.

The previous prime is 34076951. The next prime is 34076971. The reversal of 34076952 is 25967043.

It is a super-2 number, since 2×34076952² = 2322477315220608, which contains 22 as substring.

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 (34076951) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 45493 + ... + 46235.

It is an arithmetic number, because the mean of its divisors is an integer number (803985).

Almost surely, 2^34076952 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34076952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57886920).

34076952 is an abundant number, since it is smaller than the sum of its proper divisors (81696888).

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

34076952 is a wasteful number, since it uses less digits than its factorization.

34076952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 782 (or 768 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 34076952 is about 5837.5467449949. The cubic root of 34076952 is about 324.2054024491.

The spelling of 34076952 in words is "thirty-four million, seventy-six thousand, nine hundred fifty-two".