34240304736 has 288 divisors, whose sum is σ = 108596412288. Its totient is φ = 10146693120.

The previous prime is 34240304689. The next prime is 34240304797. The reversal of 34240304736 is 63740304243.

34240304736 is a `hidden beast` number, since 342 + 4 + 0 + 304 + 7 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 34240304736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 28134400 + ... + 28135616.

It is an arithmetic number, because the mean of its divisors is an integer number (377070876).

Almost surely, 2^34240304736 is an apocalyptic number.

34240304736 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 34240304736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54298206144).

34240304736 is an abundant number, since it is smaller than the sum of its proper divisors (74356107552).

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

34240304736 is a wasteful number, since it uses less digits than its factorization.

34240304736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434 (or 1423 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 36.

Adding to 34240304736 its reverse (63740304243), we get a palindrome (97980608979).

The spelling of 34240304736 in words is "thirty-four billion, two hundred forty million, three hundred four thousand, seven hundred thirty-six".