34996500 has 288 divisors, whose sum is σ = 139007232. Its totient is φ = 7200000.

The previous prime is 34996477. The next prime is 34996517. The reversal of 34996500 is 569943.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 346450 + ... + 346550.

It is an arithmetic number, because the mean of its divisors is an integer number (482664).

Almost surely, 2^34996500 is an apocalyptic number.

34996500 is a gapful number since it is divisible by the number (30) 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 34996500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69503616).

34996500 is an abundant number, since it is smaller than the sum of its proper divisors (104010732).

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

34996500 is a wasteful number, since it uses less digits than its factorization.

34996500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 129 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 34996500 is about 5915.7839717150. The cubic root of 34996500 is about 327.0957271010.

It can be divided in two parts, 3499 and 6500, that added together give a palindrome (9999).

The spelling of 34996500 in words is "thirty-four million, nine hundred ninety-six thousand, five hundred".