34468096440960 has 2048 divisors, whose sum is σ = 156280320000000. Its totient is φ = 6985339305984.

The previous prime is 34468096440919. The next prime is 34468096441003. The reversal of 34468096440960 is 6904469086443.

34468096440960 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 80 + 96 + 4 + 409 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4596355291 + ... + 4596362789.

It is an arithmetic number, because the mean of its divisors is an integer number (76308750000).

Almost surely, 2^{34468096440960} is an apocalyptic number.

34468096440960 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 34468096440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78140160000000).

34468096440960 is an abundant number, since it is smaller than the sum of its proper divisors (121812223559040).

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

34468096440960 is a wasteful number, since it uses less digits than its factorization.

34468096440960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7663 (or 7645 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 34468096440960 in words is "thirty-four trillion, four hundred sixty-eight billion, ninety-six million, four hundred forty thousand, nine hundred sixty".