34482672000 has 1152 divisors, whose sum is σ = 150214690080. Its totient is φ = 7838208000.

The previous prime is 34482671999. The next prime is 34482672013. The reversal of 34482672000 is 27628443.

34482672000 is a `hidden beast` number, since 3 + 448 + 2 + 6 + 7 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 190511910 + ... + 190512090.

Almost surely, 2^34482672000 is an apocalyptic number.

34482672000 is a gapful number since it is divisible by the number (30) 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 34482672000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75107345040).

34482672000 is an abundant number, since it is smaller than the sum of its proper divisors (115732018080).

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

34482672000 is an equidigital number, since it uses as much as digits as its factorization.

34482672000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 34482672000 in words is "thirty-four billion, four hundred eighty-two million, six hundred seventy-two thousand".