36774240 has 96 divisors (see below), whose sum is σ = 120911616. Its totient is φ = 9377280.

The previous prime is 36774211. The next prime is 36774251. The reversal of 36774240 is 4247763.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9375 + ... + 12705.

It is an arithmetic number, because the mean of its divisors is an integer number (1259496).

Almost surely, 2^36774240 is an apocalyptic number.

36774240 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 36774240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60455808).

36774240 is an abundant number, since it is smaller than the sum of its proper divisors (84137376).

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

36774240 is a wasteful number, since it uses less digits than its factorization.

36774240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3364 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 33.

The square root of 36774240 is about 6064.1767784259. The cubic root of 36774240 is about 332.5430701551.

The spelling of 36774240 in words is "thirty-six million, seven hundred seventy-four thousand, two hundred forty".