34666604672 has 72 divisors (see below), whose sum is σ = 80372052855. Its totient is φ = 14850796800.

The previous prime is 34666604647. The next prime is 34666604677. The reversal of 34666604672 is 27640666643.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 17333302336 + 17333302336 = 131656^2 + 131656^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=131656.

It is a Smith number, since the sum of its digits (50) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 34666604672.

It is not an unprimeable number, because it can be changed into a prime (34666604677) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 14744297 + ... + 14746647.

Almost surely, 2^34666604672 is an apocalyptic number.

34666604672 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 34666604672

34666604672 is an abundant number, since it is smaller than the sum of its proper divisors (45705448183).

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

34666604672 is an frugal number, since it uses more digits than its factorization.

34666604672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4730 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 50.

Multiplying 34666604672 by its sum of digits (50), we get a square (1733330233600 = 1316560²).

The spelling of 34666604672 in words is "thirty-four billion, six hundred sixty-six million, six hundred four thousand, six hundred seventy-two".