34669931002272 has 144 divisors (see below), whose sum is σ = 104499706252032. Its totient is φ = 10865637918720.

The previous prime is 34669931002193. The next prime is 34669931002283. The reversal of 34669931002272 is 27220013996643.

34669931002272 is a `hidden beast` number, since 3 + 46 + 69 + 9 + 310 + 0 + 227 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1107633 + ... + 8400399.

It is an arithmetic number, because the mean of its divisors is an integer number (725692404528).

Almost surely, 2^{34669931002272} is an apocalyptic number.

34669931002272 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 34669931002272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52249853126016).

34669931002272 is an abundant number, since it is smaller than the sum of its proper divisors (69829775249760).

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

34669931002272 is a wasteful number, since it uses less digits than its factorization.

34669931002272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7293771 (or 7293760 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The spelling of 34669931002272 in words is "thirty-four trillion, six hundred sixty-nine billion, nine hundred thirty-one million, two thousand, two hundred seventy-two".