34231260960 has 360 divisors, whose sum is σ = 130823944020. Its totient is φ = 8425617408.

The previous prime is 34231260953. The next prime is 34231260971. The reversal of 34231260960 is 6906213243.

34231260960 is a `hidden beast` number, since 3 + 42 + 3 + 1 + 2 + 609 + 6 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 14224855824 + 20006405136 = 119268^2 + 141444^2 .

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

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2182426 + ... + 2198054.

Almost surely, 2^34231260960 is an apocalyptic number.

34231260960 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 34231260960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65411972010).

34231260960 is an abundant number, since it is smaller than the sum of its proper divisors (96592683060).

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

34231260960 is a wasteful number, since it uses less digits than its factorization.

34231260960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15682 (or 15652 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 34231260960 in words is "thirty-four billion, two hundred thirty-one million, two hundred sixty thousand, nine hundred sixty".