34644234240 has 624 divisors, whose sum is σ = 149778135936. Its totient is φ = 7195852800.

The previous prime is 34644234221. The next prime is 34644234257. The reversal of 34644234240 is 4243244643.

34644234240 is a `hidden beast` number, since 3 + 4 + 644 + 2 + 3 + 4 + 2 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 34644234195 and 34644234204.

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, 14191420 + ... + 14193860.

It is an arithmetic number, because the mean of its divisors is an integer number (240029064).

Almost surely, 2^34644234240 is an apocalyptic number.

34644234240 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 34644234240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74889067968).

34644234240 is an abundant number, since it is smaller than the sum of its proper divisors (115133901696).

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

34644234240 is a wasteful number, since it uses less digits than its factorization.

34644234240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2494 (or 2469 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 36.

Adding to 34644234240 its reverse (4243244643), we get a palindrome (38887478883).

The spelling of 34644234240 in words is "thirty-four billion, six hundred forty-four million, two hundred thirty-four thousand, two hundred forty".