34464096 has 96 divisors (see below), whose sum is σ = 101697120. Its totient is φ = 11354112.

The previous prime is 34464091. The next prime is 34464137. The reversal of 34464096 is 69046443.

34464096 is a `hidden beast` number, since 3 + 4 + 4 + 640 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34464096.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34464091) 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, 97456 + ... + 97808.

It is an arithmetic number, because the mean of its divisors is an integer number (1059345).

Almost surely, 2^34464096 is an apocalyptic number.

34464096 is a gapful number since it is divisible by the number (36) 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 34464096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50848560).

34464096 is an abundant number, since it is smaller than the sum of its proper divisors (67233024).

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

34464096 is a wasteful number, since it uses less digits than its factorization.

34464096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 485 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 34464096 is about 5870.6129151904. The cubic root of 34464096 is about 325.4285345027.

The spelling of 34464096 in words is "thirty-four million, four hundred sixty-four thousand, ninety-six".