35420032 has 32 divisors (see below), whose sum is σ = 71028720. Its totient is φ = 17593344.

The previous prime is 35420029. The next prime is 35420041. The reversal of 35420032 is 23002453.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×35420032³ (a number of 24 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 35419991 and 35420009.

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 3 ways as a sum of consecutive naturals, for example, 20548 + ... + 22204.

Almost surely, 2^35420032 is an apocalyptic number.

35420032 is a gapful number since it is divisible by the number (32) 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 35420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35514360).

35420032 is an abundant number, since it is smaller than the sum of its proper divisors (35608688).

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

35420032 is a wasteful number, since it uses less digits than its factorization.

35420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1838 (or 1826 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 19.

The square root of 35420032 is about 5951.4730949572. The cubic root of 35420032 is about 328.4099573515.

Adding to 35420032 its reverse (23002453), we get a palindrome (58422485).

The spelling of 35420032 in words is "thirty-five million, four hundred twenty thousand, thirty-two".