34066700340672 has 28 divisors (see below), whose sum is σ = 90134811318536. Its totient is φ = 11355566780160.

The previous prime is 34066700340661. The next prime is 34066700340689. The reversal of 34066700340672 is 27604300766043.

It is a super-3 number, since 3×34066700340672³ (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 88715365279 + ... + 88715365662.

Almost surely, 2^{34066700340672} is an apocalyptic number.

34066700340672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

34066700340672 is an abundant number, since it is smaller than the sum of its proper divisors (56068110977864).

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

34066700340672 is a wasteful number, since it uses less digits than its factorization.

34066700340672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177430730956 (or 177430730946 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 48.

The spelling of 34066700340672 in words is "thirty-four trillion, sixty-six billion, seven hundred million, three hundred forty thousand, six hundred seventy-two".