35675640 has 480 divisors, whose sum is σ = 162217440. Its totient is φ = 6842880.

The previous prime is 35675609. The next prime is 35675657. The reversal of 35675640 is 4657653.

35675640 is a `hidden beast` number, since 3 + 5 + 6 + 7 + 5 + 640 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 35675595 and 35675604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2744274 + ... + 2744286.

It is an arithmetic number, because the mean of its divisors is an integer number (337953).

Almost surely, 2^35675640 is an apocalyptic number.

35675640 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 35675640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81108720).

35675640 is an abundant number, since it is smaller than the sum of its proper divisors (126541800).

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

35675640 is a wasteful number, since it uses less digits than its factorization.

35675640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 35675640 is about 5972.9088390833. The cubic root of 35675640 is about 329.1980527319.

It can be divided in two parts, 35675 and 640, that added together give a triangular number (36315 = T₂₆₉).

The spelling of 35675640 in words is "thirty-five million, six hundred seventy-five thousand, six hundred forty".