34466700672 has 96 divisors (see below), whose sum is σ = 99430189560. Its totient is φ = 11460096000.

The previous prime is 34466700647. The next prime is 34466700683. The reversal of 34466700672 is 27600766443.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 424647 + ... + 499257.

Almost surely, 2^34466700672 is an apocalyptic number.

34466700672 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 34466700672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49715094780).

34466700672 is an abundant number, since it is smaller than the sum of its proper divisors (64963488888).

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

34466700672 is a wasteful number, since it uses less digits than its factorization.

34466700672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75032 (or 75017 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 34466700672 in words is "thirty-four billion, four hundred sixty-six million, seven hundred thousand, six hundred seventy-two".