34102992 has 80 divisors (see below), whose sum is σ = 109850112. Its totient is φ = 8856960.

The previous prime is 34102963. The next prime is 34102993. The reversal of 34102992 is 29920143.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34102993) 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, 918 + ... + 8309.

Almost surely, 2^34102992 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 34102992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54925056).

34102992 is an abundant number, since it is smaller than the sum of its proper divisors (75747120).

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

34102992 is a wasteful number, since it uses less digits than its factorization.

34102992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9256 (or 9250 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 30.

The square root of 34102992 is about 5839.7767080600. The cubic root of 34102992 is about 324.2879622507.

The spelling of 34102992 in words is "thirty-four million, one hundred two thousand, nine hundred ninety-two".