35400040 has 64 divisors (see below), whose sum is σ = 90316800. Its totient is φ = 12379392.

The previous prime is 35400037. The next prime is 35400041. The reversal of 35400040 is 4000453.

It is a junction number, because it is equal to n+sod(n) for n = 35399987 and 35400023.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35400041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8089 + ... + 11671.

It is an arithmetic number, because the mean of its divisors is an integer number (1411200).

Almost surely, 2^35400040 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 35400040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45158400).

35400040 is an abundant number, since it is smaller than the sum of its proper divisors (54916760).

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

35400040 is a wasteful number, since it uses less digits than its factorization.

35400040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3626 (or 3622 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 16.

The square root of 35400040 is about 5949.7932737197. The cubic root of 35400040 is about 328.3481579765.

Adding to 35400040 its reverse (4000453), we get a palindrome (39400493).

The spelling of 35400040 in words is "thirty-five million, four hundred thousand, forty".