34564992 has 192 divisors, whose sum is σ = 117210240. Its totient is φ = 8924160.

The previous prime is 34564951. The next prime is 34565023. The reversal of 34564992 is 29946543.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 206893 + ... + 207059.

It is an arithmetic number, because the mean of its divisors is an integer number (610470).

Almost surely, 2^34564992 is an apocalyptic number.

34564992 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 34564992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58605120).

34564992 is an abundant number, since it is smaller than the sum of its proper divisors (82645248).

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

34564992 is a wasteful number, since it uses less digits than its factorization.

34564992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209 (or 190 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The square root of 34564992 is about 5879.1999455708. The cubic root of 34564992 is about 325.7457965381.

It can be divided in two parts, 3456 and 4992, that added together give a palindrome (8448).

The spelling of 34564992 in words is "thirty-four million, five hundred sixty-four thousand, nine hundred ninety-two".