34132440960 has 768 divisors, whose sum is σ = 128835645120. Its totient is φ = 8626176000.

The previous prime is 34132440941. The next prime is 34132440961. The reversal of 34132440960 is 6904423143.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34132440961) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 337944910 + ... + 337945010.

Almost surely, 2^34132440960 is an apocalyptic number.

34132440960 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 34132440960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64417822560).

34132440960 is an abundant number, since it is smaller than the sum of its proper divisors (94703204160).

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

34132440960 is a wasteful number, since it uses less digits than its factorization.

34132440960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The spelling of 34132440960 in words is "thirty-four billion, one hundred thirty-two million, four hundred forty thousand, nine hundred sixty".