34286883840 has 1056 divisors, whose sum is σ = 144021286656. Its totient is φ = 7439646720.

The previous prime is 34286883809. The next prime is 34286883859. The reversal of 34286883840 is 4838868243.

34286883840 is a `hidden beast` number, since 3 + 428 + 68 + 83 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1056).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 198189994 + ... + 198190166.

Almost surely, 2^34286883840 is an apocalyptic number.

34286883840 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 34286883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72010643328).

34286883840 is an abundant number, since it is smaller than the sum of its proper divisors (109734402816).

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

34286883840 is a wasteful number, since it uses less digits than its factorization.

34286883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 255 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 7077888, while the sum is 54.

The spelling of 34286883840 in words is "thirty-four billion, two hundred eighty-six million, eight hundred eighty-three thousand, eight hundred forty".