35875980 has 96 divisors (see below), whose sum is σ = 127572480. Its totient is φ = 8199360.

The previous prime is 35875979. The next prime is 35875981. The reversal of 35875980 is 8957853.

35875980 is a `hidden beast` number, since 3 + 58 + 7 + 598 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (35875979) and next prime (35875981).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (35875981) by changing a digit.

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, 966 + ... + 8525.

It is an arithmetic number, because the mean of its divisors is an integer number (1328880).

Almost surely, 2^35875980 is an apocalyptic number.

35875980 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 35875980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63786240).

35875980 is an abundant number, since it is smaller than the sum of its proper divisors (91696500).

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

35875980 is a wasteful number, since it uses less digits than its factorization.

35875980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9508 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The square root of 35875980 is about 5989.6560836162. The cubic root of 35875980 is about 329.8131173267.

The spelling of 35875980 in words is "thirty-five million, eight hundred seventy-five thousand, nine hundred eighty".