35872890 has 64 divisors (see below), whose sum is σ = 94141440. Its totient is φ = 8709120.

The previous prime is 35872841. The next prime is 35872897. The reversal of 35872890 is 9827853.

It is not an unprimeable number, because it can be changed into a prime (35872897) 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, 14676 + ... + 16944.

It is an arithmetic number, because the mean of its divisors is an integer number (1470960).

Almost surely, 2^35872890 is an apocalyptic number.

35872890 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 35872890, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47070720).

35872890 is an abundant number, since it is smaller than the sum of its proper divisors (58268550).

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

35872890 is a wasteful number, since it uses less digits than its factorization.

35872890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2327.

The product of its (nonzero) digits is 120960, while the sum is 42.

The square root of 35872890 is about 5989.3981333687. The cubic root of 35872890 is about 329.8036481146.

The spelling of 35872890 in words is "thirty-five million, eight hundred seventy-two thousand, eight hundred ninety".