34333578240 has 352 divisors, whose sum is σ = 119208109440. Its totient is φ = 8383758336.

The previous prime is 34333578217. The next prime is 34333578277. The reversal of 34333578240 is 4287533343.

It is a junction number, because it is equal to n+sod(n) for n = 34333578192 and 34333578201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27754902 + ... + 27756138.

Almost surely, 2^34333578240 is an apocalyptic number.

34333578240 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 34333578240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59604054720).

34333578240 is an abundant number, since it is smaller than the sum of its proper divisors (84874531200).

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

34333578240 is a wasteful number, since it uses less digits than its factorization.

34333578240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 42.

The spelling of 34333578240 in words is "thirty-four billion, three hundred thirty-three million, five hundred seventy-eight thousand, two hundred forty".