35864040 has 64 divisors (see below), whose sum is σ = 109641600. Its totient is φ = 9381632.

The previous prime is 35864029. The next prime is 35864041. The reversal of 35864040 is 4046853.

35864040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 35863989 and 35864007.

It is not an unprimeable number, because it can be changed into a prime (35864041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3541 + ... + 9179.

It is an arithmetic number, because the mean of its divisors is an integer number (1713150).

Almost surely, 2^35864040 is an apocalyptic number.

35864040 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 35864040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54820800).

35864040 is an abundant number, since it is smaller than the sum of its proper divisors (73777560).

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

35864040 is a wasteful number, since it uses less digits than its factorization.

35864040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5706 (or 5702 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 35864040 is about 5988.6592823436. The cubic root of 35864040 is about 329.7765245464.

It can be divided in two parts, 3586 and 4040, that added together give a triangular number (7626 = T₁₂₃).

The spelling of 35864040 in words is "thirty-five million, eight hundred sixty-four thousand, forty".