35442000 has 240 divisors, whose sum is σ = 135794880. Its totient is φ = 8544000.

The previous prime is 35441971. The next prime is 35442023. The reversal of 35442000 is 24453.

It is a happy number.

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

It is a super-2 number, since 2×35442000² = 2512270728000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 197911 + ... + 198089.

It is an arithmetic number, because the mean of its divisors is an integer number (565812).

Almost surely, 2^35442000 is an apocalyptic number.

35442000 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 35442000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67897440).

35442000 is an abundant number, since it is smaller than the sum of its proper divisors (100352880).

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

35442000 is a wasteful number, since it uses less digits than its factorization.

35442000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 200 counting only the distinct ones).

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

The square root of 35442000 is about 5953.3184023702. The cubic root of 35442000 is about 328.4778381385.

Adding to 35442000 its reverse (24453), we get a palindrome (35466453).

The spelling of 35442000 in words is "thirty-five million, four hundred forty-two thousand".