34428541896 has 288 divisors, whose sum is σ = 111266663040. Its totient is φ = 9584822016.

The previous prime is 34428541841. The next prime is 34428541909. The reversal of 34428541896 is 69814582443.

34428541896 is a `hidden beast` number, since 3 + 4 + 4 + 2 + 8 + 541 + 8 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65828691 + ... + 65829213.

It is an arithmetic number, because the mean of its divisors is an integer number (386342580).

Almost surely, 2^34428541896 is an apocalyptic number.

34428541896 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 34428541896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55633331520).

34428541896 is an abundant number, since it is smaller than the sum of its proper divisors (76838121144).

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

34428541896 is a wasteful number, since it uses less digits than its factorization.

34428541896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 993 (or 979 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 54.

The spelling of 34428541896 in words is "thirty-four billion, four hundred twenty-eight million, five hundred forty-one thousand, eight hundred ninety-six".