36745440 has 96 divisors (see below), whose sum is σ = 118933920. Its totient is φ = 9529344.

The previous prime is 36745433. The next prime is 36745441. The reversal of 36745440 is 4454763.

36745440 = 726² + 727² + ... + 789².

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36745441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16726 + ... + 18794.

It is an arithmetic number, because the mean of its divisors is an integer number (1238895).

Almost surely, 2^36745440 is an apocalyptic number.

36745440 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 36745440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59466960).

36745440 is an abundant number, since it is smaller than the sum of its proper divisors (82188480).

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

36745440 is a wasteful number, since it uses less digits than its factorization.

36745440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2124 (or 2116 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 33.

The square root of 36745440 is about 6061.8017123624. The cubic root of 36745440 is about 332.4562363491.

The spelling of 36745440 in words is "thirty-six million, seven hundred forty-five thousand, four hundred forty".