35381640 has 128 divisors (see below), whose sum is σ = 123183360. Its totient is φ = 7962624.

The previous prime is 35381627. The next prime is 35381663. The reversal of 35381640 is 4618353.

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 = 35381598 and 35381607.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 61032 + ... + 61608.

It is an arithmetic number, because the mean of its divisors is an integer number (962370).

Almost surely, 2^35381640 is an apocalyptic number.

35381640 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 35381640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61591680).

35381640 is an abundant number, since it is smaller than the sum of its proper divisors (87801720).

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

35381640 is a wasteful number, since it uses less digits than its factorization.

35381640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 671 (or 667 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 35381640 is about 5948.2468005287. The cubic root of 35381640 is about 328.2912592351.

Adding to 35381640 its reverse (4618353), we get a palindrome (39999993).

The spelling of 35381640 in words is "thirty-five million, three hundred eighty-one thousand, six hundred forty".