34972668 has 48 divisors (see below), whose sum is σ = 91840000. Its totient is φ = 11507184.

The previous prime is 34972667. The next prime is 34972669. The reversal of 34972668 is 86627943.

It is an interprime number because it is at equal distance from previous prime (34972667) and next prime (34972669).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34972667) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6483 + ... + 10581.

Almost surely, 2^34972668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34972668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45920000).

34972668 is an abundant number, since it is smaller than the sum of its proper divisors (56867332).

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

34972668 is a wasteful number, since it uses less digits than its factorization.

34972668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191 (or 4183 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The square root of 34972668 is about 5913.7693563412. The cubic root of 34972668 is about 327.0214614313.

The spelling of 34972668 in words is "thirty-four million, nine hundred seventy-two thousand, six hundred sixty-eight".