34324075440 has 360 divisors, whose sum is σ = 120437871840. Its totient is φ = 8759439360.

The previous prime is 34324075439. The next prime is 34324075447. The reversal of 34324075440 is 4457042343.

34324075440 is a `hidden beast` number, since 343 + 240 + 75 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×34324075440² (a number of 22 digits) contains 22 as substring.

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 = 34324075395 and 34324075404.

It is not an unprimeable number, because it can be changed into a prime (34324075447) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 78186741 + ... + 78187179.

It is an arithmetic number, because the mean of its divisors is an integer number (334549644).

Almost surely, 2^34324075440 is an apocalyptic number.

34324075440 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 34324075440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60218935920).

34324075440 is an abundant number, since it is smaller than the sum of its proper divisors (86113796400).

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

34324075440 is a wasteful number, since it uses less digits than its factorization.

34324075440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 633 (or 593 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The spelling of 34324075440 in words is "thirty-four billion, three hundred twenty-four million, seventy-five thousand, four hundred forty".