35468000 has 48 divisors (see below), whose sum is σ = 87154704. Its totient is φ = 14185600.

The previous prime is 35467997. The next prime is 35468009. The reversal of 35468000 is 86453.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35468009) 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 7 ways as a sum of consecutive naturals, for example, 434 + ... + 8433.

It is an arithmetic number, because the mean of its divisors is an integer number (1815723).

Almost surely, 2^35468000 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 35468000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43577352).

35468000 is an abundant number, since it is smaller than the sum of its proper divisors (51686704).

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

35468000 is an equidigital number, since it uses as much as digits as its factorization.

35468000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8892 (or 8874 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

The square root of 35468000 is about 5955.5016581309. The cubic root of 35468000 is about 328.5581415097.

The spelling of 35468000 in words is "thirty-five million, four hundred sixty-eight thousand".