35982000 has 120 divisors (see below), whose sum is σ = 125736000. Its totient is φ = 9590400.

The previous prime is 35981999. The next prime is 35982031. The reversal of 35982000 is 28953.

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17001 + ... + 18999.

It is an arithmetic number, because the mean of its divisors is an integer number (1047800).

Almost surely, 2^35982000 is an apocalyptic number.

35982000 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 35982000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62868000).

35982000 is an abundant number, since it is smaller than the sum of its proper divisors (89754000).

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

35982000 is a wasteful number, since it uses less digits than its factorization.

35982000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2028 (or 2009 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 35982000 is about 5998.4998124531. The cubic root of 35982000 is about 330.1376835941.

The spelling of 35982000 in words is "thirty-five million, nine hundred eighty-two thousand".