36738240 has 336 divisors, whose sum is σ = 150107904. Its totient is φ = 7526400.

The previous prime is 36738227. The next prime is 36738257. The reversal of 36738240 is 4283763.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517405 + ... + 517475.

Almost surely, 2^36738240 is an apocalyptic number.

36738240 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 36738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75053952).

36738240 is an abundant number, since it is smaller than the sum of its proper divisors (113369664).

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

36738240 is a wasteful number, since it uses less digits than its factorization.

36738240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 36738240 is about 6061.2078004305. The cubic root of 36738240 is about 332.4345208087.

The spelling of 36738240 in words is "thirty-six million, seven hundred thirty-eight thousand, two hundred forty".