34872066335232 has 720 divisors, whose sum is σ = 126690016444992. Its totient is φ = 9530215833600.

The previous prime is 34872066335159. The next prime is 34872066335233. The reversal of 34872066335232 is 23253366027843.

34872066335232 is a `hidden beast` number, since 3 + 4 + 8 + 7 + 20 + 66 + 33 + 523 + 2 = 666.

It is a super-2 number, since 2×34872066335232² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (34872066335233) 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, 140092482 + ... + 140341182.

Almost surely, 2^{34872066335232} is an apocalyptic number.

34872066335232 is a gapful number since it is divisible by the number (32) 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 34872066335232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63345008222496).

34872066335232 is an abundant number, since it is smaller than the sum of its proper divisors (91817950109760).

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

34872066335232 is an equidigital number, since it uses as much as digits as its factorization.

34872066335232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248771 (or 248736 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 54.

The spelling of 34872066335232 in words is "thirty-four trillion, eight hundred seventy-two billion, sixty-six million, three hundred thirty-five thousand, two hundred thirty-two".