36948450 has 144 divisors (see below), whose sum is σ = 116537184. Its totient is φ = 7660800.

The previous prime is 36948427. The next prime is 36948451. The reversal of 36948450 is 5484963.

36948450 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 36948399 and 36948408.

It is not an unprimeable number, because it can be changed into a prime (36948451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80622 + ... + 81078.

It is an arithmetic number, because the mean of its divisors is an integer number (809286).

Almost surely, 2^36948450 is an apocalyptic number.

36948450 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 36948450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58268592).

36948450 is an abundant number, since it is smaller than the sum of its proper divisors (79588734).

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

36948450 is a wasteful number, since it uses less digits than its factorization.

36948450 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 497 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

The square root of 36948450 is about 6078.5236694447. The cubic root of 36948450 is about 333.0673600533.

The spelling of 36948450 in words is "thirty-six million, nine hundred forty-eight thousand, four hundred fifty".