36538950 has 192 divisors, whose sum is σ = 115706880. Its totient is φ = 7434240.

The previous prime is 36538921. The next prime is 36538963. The reversal of 36538950 is 5983563.

36538950 = T₂₈ + T₂₉ + ... + T₆₀₂.

It is a junction number, because it is equal to n+sod(n) for n = 36538899 and 36538908.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 410506 + ... + 410594.

It is an arithmetic number, because the mean of its divisors is an integer number (602640).

Almost surely, 2^36538950 is an apocalyptic number.

36538950 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 36538950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57853440).

36538950 is an abundant number, since it is smaller than the sum of its proper divisors (79167930).

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

36538950 is a wasteful number, since it uses less digits than its factorization.

36538950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 146 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 36538950 is about 6044.7456522173. The cubic root of 36538950 is about 331.8323232741.

The spelling of 36538950 in words is "thirty-six million, five hundred thirty-eight thousand, nine hundred fifty".