36677040 has 40 divisors (see below), whose sum is σ = 113699568. Its totient is φ = 9780480.

The previous prime is 36677023. The next prime is 36677057. The reversal of 36677040 is 4077663.

36677040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36677023) and next prime (36677057).

It is a tau number, because it is divible by the number of its divisors (40).

It is a junction number, because it is equal to n+sod(n) for n = 36676992 and 36677010.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 76171 + ... + 76650.

Almost surely, 2^36677040 is an apocalyptic number.

36677040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

36677040 is an abundant number, since it is smaller than the sum of its proper divisors (77022528).

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

36677040 is a wasteful number, since it uses less digits than its factorization.

36677040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152837 (or 152831 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 33.

The square root of 36677040 is about 6056.1571974314. The cubic root of 36677040 is about 332.2498240613.

The spelling of 36677040 in words is "thirty-six million, six hundred seventy-seven thousand, forty".