35340000 has 240 divisors, whose sum is σ = 125959680. Its totient is φ = 8640000.

The previous prime is 35339987. The next prime is 35340017. The reversal of 35340000 is 4353.

35340000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1139985 + ... + 1140015.

It is an arithmetic number, because the mean of its divisors is an integer number (524832).

Almost surely, 2^35340000 is an apocalyptic number.

35340000 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 35340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62979840).

35340000 is an abundant number, since it is smaller than the sum of its proper divisors (90619680).

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

35340000 is a wasteful number, since it uses less digits than its factorization.

35340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 15.

The square root of 35340000 is about 5944.7455790807. The cubic root of 35340000 is about 328.1624220358.

Adding to 35340000 its reverse (4353), we get a palindrome (35344353).

The spelling of 35340000 in words is "thirty-five million, three hundred forty thousand".