34645672512 has 882 divisors, whose sum is σ = 126611456454. Its totient is φ = 9361059840.

The previous prime is 34645672421. The next prime is 34645672513. The reversal of 34645672512 is 21527654643.

34645672512 is a `hidden beast` number, since 3 + 4 + 64 + 5 + 6 + 72 + 512 = 666.

It can be written as a sum of positive squares in only one way, i.e., 32607691776 + 2037980736 = 180576^2 + 45144^2 .

It is not an unprimeable number, because it can be changed into a prime (34645672513) by changing a digit.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 1823456439 + ... + 1823456457.

Almost surely, 2^34645672512 is an apocalyptic number.

34645672512 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 34645672512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63305728227).

34645672512 is an abundant number, since it is smaller than the sum of its proper divisors (91965783942).

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

34645672512 is a wasteful number, since it uses less digits than its factorization.

34645672512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 52 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 45.

The spelling of 34645672512 in words is "thirty-four billion, six hundred forty-five million, six hundred seventy-two thousand, five hundred twelve".