34238384772672 has 56 divisors (see below), whose sum is σ = 90845686122336. Its totient is φ = 11380464037888.

The previous prime is 34238384772661. The next prime is 34238384772689. The reversal of 34238384772672 is 27627748383243.

It is a super-3 number, since 3×34238384772672³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 252517098 + ... + 252652649.

Almost surely, 2^{34238384772672} is an apocalyptic number.

34238384772672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34238384772672 is an abundant number, since it is smaller than the sum of its proper divisors (56607301349664).

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

34238384772672 is a wasteful number, since it uses less digits than its factorization.

34238384772672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505170115 (or 505170105 counting only the distinct ones).

The product of its digits is 455196672, while the sum is 66.

The spelling of 34238384772672 in words is "thirty-four trillion, two hundred thirty-eight billion, three hundred eighty-four million, seven hundred seventy-two thousand, six hundred seventy-two".