34053006240 has 576 divisors, whose sum is σ = 131758099200. Its totient is φ = 7936081920.

The previous prime is 34053006217. The next prime is 34053006257. The reversal of 34053006240 is 4260035043.

34053006240 is a `hidden beast` number, since 3 + 4 + 0 + 5 + 30 + 0 + 624 + 0 = 666.

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, 56849461 + ... + 56850059.

It is an arithmetic number, because the mean of its divisors is an integer number (228746700).

Almost surely, 2^34053006240 is an apocalyptic number.

34053006240 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 34053006240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65879049600).

34053006240 is an abundant number, since it is smaller than the sum of its proper divisors (97705092960).

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

34053006240 is a wasteful number, since it uses less digits than its factorization.

34053006240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 754 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The spelling of 34053006240 in words is "thirty-four billion, fifty-three million, six thousand, two hundred forty".