34288842240 has 800 divisors, whose sum is σ = 132830051904. Its totient is φ = 8422686720.

The previous prime is 34288842163. The next prime is 34288842241. The reversal of 34288842240 is 4224888243.

34288842240 is a `hidden beast` number, since 342 + 8 + 8 + 84 + 224 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34288842241) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 250283452 + ... + 250283588.

Almost surely, 2^34288842240 is an apocalyptic number.

34288842240 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 34288842240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66415025952).

34288842240 is an abundant number, since it is smaller than the sum of its proper divisors (98541209664).

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

34288842240 is a wasteful number, since it uses less digits than its factorization.

34288842240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 34288842240 in words is "thirty-four billion, two hundred eighty-eight million, eight hundred forty-two thousand, two hundred forty".