35378840 has 64 divisors (see below), whose sum is σ = 94132800. Its totient is φ = 11708928.

The previous prime is 35378821. The next prime is 35378857. The reversal of 35378840 is 4887353.

It is a happy number.

35378840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 35378794 and 35378803.

It is a congruent number.

It is an unprimeable number.

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, 5942 + ... + 10298.

It is an arithmetic number, because the mean of its divisors is an integer number (1470825).

Almost surely, 2^35378840 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 35378840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47066400).

35378840 is an abundant number, since it is smaller than the sum of its proper divisors (58753960).

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

35378840 is a wasteful number, since it uses less digits than its factorization.

35378840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4404 (or 4400 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 38.

The square root of 35378840 is about 5948.0114324033. The cubic root of 35378840 is about 328.2825990018.

The spelling of 35378840 in words is "thirty-five million, three hundred seventy-eight thousand, eight hundred forty".