36374080 has 56 divisors (see below), whose sum is σ = 87206328. Its totient is φ = 14450688.

The previous prime is 36374069. The next prime is 36374083. The reversal of 36374080 is 8047363.

It can be written as a sum of positive squares in 4 ways, for example, as 25563136 + 10810944 = 5056^2 + 3288^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36374083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62752 + ... + 63328.

Almost surely, 2^36374080 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36374080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43603164).

36374080 is an abundant number, since it is smaller than the sum of its proper divisors (50832248).

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

36374080 is a wasteful number, since it uses less digits than its factorization.

36374080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 31.

The square root of 36374080 is about 6031.0927699713. The cubic root of 36374080 is about 331.3324759624.

The spelling of 36374080 in words is "thirty-six million, three hundred seventy-four thousand, eighty".