34819493832 has 36 divisors (see below), whose sum is σ = 94307084235. Its totient is φ = 11605970160.

The previous prime is 34819493831. The next prime is 34819493881. The reversal of 34819493832 is 23839491843.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

34819493832 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 17409746916 + 17409746916 = 131946^2 + 131946^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=131946.

It is a super-3 number, since 3×34819493832³ (a number of 33 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (34819493831) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1572357 + ... + 1594347.

Almost surely, 2^34819493832 is an apocalyptic number.

It is an amenable number.

34819493832 is an abundant number, since it is smaller than the sum of its proper divisors (59487590403).

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

34819493832 is an frugal number, since it uses more digits than its factorization.

34819493832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43994 (or 21996 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 54.

The spelling of 34819493832 in words is "thirty-four billion, eight hundred nineteen million, four hundred ninety-three thousand, eight hundred thirty-two".