35785680 has 240 divisors, whose sum is σ = 137401920. Its totient is φ = 7655424.

The previous prime is 35785669. The next prime is 35785703. The reversal of 35785680 is 8658753.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×35785680² = 2561229786124800, which contains 22 as substring.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199831 + ... + 200009.

It is an arithmetic number, because the mean of its divisors is an integer number (572508).

Almost surely, 2^35785680 is an apocalyptic number.

35785680 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 35785680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68700960).

35785680 is an abundant number, since it is smaller than the sum of its proper divisors (101616240).

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

35785680 is a wasteful number, since it uses less digits than its factorization.

35785680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The square root of 35785680 is about 5982.1133389464. The cubic root of 35785680 is about 329.5361711477.

The spelling of 35785680 in words is "thirty-five million, seven hundred eighty-five thousand, six hundred eighty".