35424000 has 288 divisors, whose sum is σ = 133922880. Its totient is φ = 9216000.

The previous prime is 35423977. The next prime is 35424017. The reversal of 35424000 is 42453.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×35424000³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 863980 + ... + 864020.

It is an arithmetic number, because the mean of its divisors is an integer number (465010).

Almost surely, 2^35424000 is an apocalyptic number.

35424000 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 35424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66961440).

35424000 is an abundant number, since it is smaller than the sum of its proper divisors (98498880).

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

35424000 is an equidigital number, since it uses as much as digits as its factorization.

35424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 51 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 35424000 is about 5951.8064484659. The cubic root of 35424000 is about 328.4222204879.

Adding to 35424000 its reverse (42453), we get a palindrome (35466453).

The spelling of 35424000 in words is "thirty-five million, four hundred twenty-four thousand".