35486640 has 160 divisors (see below), whose sum is σ = 139752960. Its totient is φ = 8107776.

The previous prime is 35486629. The next prime is 35486681. The reversal of 35486640 is 4668453.

35486640 is a `hidden beast` number, since 3 + 5 + 4 + 8 + 6 + 640 = 666.

It is a super-3 number, since 3×35486640³ (a number of 24 digits) contains 333 as substring.

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

It is a nialpdrome in base 12.

It is a junction number, because it is equal to n+sod(n) for n = 35486595 and 35486604.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13947 + ... + 16293.

It is an arithmetic number, because the mean of its divisors is an integer number (873456).

Almost surely, 2^35486640 is an apocalyptic number.

35486640 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 35486640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69876480).

35486640 is an abundant number, since it is smaller than the sum of its proper divisors (104266320).

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

35486640 is a wasteful number, since it uses less digits than its factorization.

35486640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2376 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 35486640 is about 5957.0663921095. The cubic root of 35486640 is about 328.6156886997.

The spelling of 35486640 in words is "thirty-five million, four hundred eighty-six thousand, six hundred forty".