35642040 has 128 divisors (see below), whose sum is σ = 123448320. Its totient is φ = 8064000.

The previous prime is 35642039. The next prime is 35642041. The reversal of 35642040 is 4024653.

It is an interprime number because it is at equal distance from previous prime (35642039) and next prime (35642041).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 35642040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35642041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126700 + ... + 126980.

It is an arithmetic number, because the mean of its divisors is an integer number (964440).

Almost surely, 2^35642040 is an apocalyptic number.

35642040 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 35642040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61724160).

35642040 is an abundant number, since it is smaller than the sum of its proper divisors (87806280).

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

35642040 is a wasteful number, since it uses less digits than its factorization.

35642040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 453 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 35642040 is about 5970.0954766235. The cubic root of 35642040 is about 329.0946719293.

Adding to 35642040 its reverse (4024653), we get a palindrome (39666693).

The spelling of 35642040 in words is "thirty-five million, six hundred forty-two thousand, forty".