34984092 has 192 divisors, whose sum is σ = 107251200. Its totient is φ = 8709120.

The previous prime is 34984091. The next prime is 34984093. The reversal of 34984092 is 29048943.

It is an interprime number because it is at equal distance from previous prime (34984091) and next prime (34984093).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 34984092.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34984091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 945498 + ... + 945534.

It is an arithmetic number, because the mean of its divisors is an integer number (558600).

Almost surely, 2^34984092 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 34984092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53625600).

34984092 is an abundant number, since it is smaller than the sum of its proper divisors (72267108).

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

34984092 is a wasteful number, since it uses less digits than its factorization.

34984092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 39.

The square root of 34984092 is about 5914.7351589061. The cubic root of 34984092 is about 327.0570652964.

The spelling of 34984092 in words is "thirty-four million, nine hundred eighty-four thousand, ninety-two".