36947040 has 192 divisors, whose sum is σ = 130056192. Its totient is φ = 8755200.

The previous prime is 36947033. The next prime is 36947059. The reversal of 36947040 is 4074963.

It is a junction number, because it is equal to n+sod(n) for n = 36946992 and 36947010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 193345 + ... + 193535.

It is an arithmetic number, because the mean of its divisors is an integer number (677376).

Almost surely, 2^36947040 is an apocalyptic number.

36947040 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 36947040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65028096).

36947040 is an abundant number, since it is smaller than the sum of its proper divisors (93109152).

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

36947040 is a wasteful number, since it uses less digits than its factorization.

36947040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 245 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36947040 is about 6078.4076862284. The cubic root of 36947040 is about 333.0631232409.

The spelling of 36947040 in words is "thirty-six million, nine hundred forty-seven thousand, forty".