35625384 has 48 divisors (see below), whose sum is σ = 97499220. Its totient is φ = 11750400.

The previous prime is 35625383. The next prime is 35625407. The reversal of 35625384 is 48352653.

It is a happy number.

35625384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 30008484 + 5616900 = 5478^2 + 2370^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (35625383) 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 11 ways as a sum of consecutive naturals, for example, 4434 + ... + 9534.

Almost surely, 2^35625384 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 35625384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48749610).

35625384 is an abundant number, since it is smaller than the sum of its proper divisors (61873836).

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

35625384 is a wasteful number, since it uses less digits than its factorization.

35625384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5210 (or 5203 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

The square root of 35625384 is about 5968.7003610501. The cubic root of 35625384 is about 329.0434005007.

The spelling of 35625384 in words is "thirty-five million, six hundred twenty-five thousand, three hundred eighty-four".