34752096 has 72 divisors (see below), whose sum is σ = 100356984. Its totient is φ = 11404800.

The previous prime is 34752079. The next prime is 34752119. The reversal of 34752096 is 69025743.

34752096 is a `hidden beast` number, since 3 + 47 + 520 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 34752096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18396 + ... + 20196.

It is an arithmetic number, because the mean of its divisors is an integer number (1393847).

Almost surely, 2^34752096 is an apocalyptic number.

34752096 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 34752096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50178492).

34752096 is an abundant number, since it is smaller than the sum of its proper divisors (65604888).

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

34752096 is a wasteful number, since it uses less digits than its factorization.

34752096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1873 counting only the distinct ones).

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

The square root of 34752096 is about 5895.0908389948. The cubic root of 34752096 is about 326.3325047866.

The spelling of 34752096 in words is "thirty-four million, seven hundred fifty-two thousand, ninety-six".