36742464 has 112 divisors (see below), whose sum is σ = 117896640. Its totient is φ = 11128320.

The previous prime is 36742463. The next prime is 36742481. The reversal of 36742464 is 46424763.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36742463) 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, 18042 + ... + 19974.

Almost surely, 2^36742464 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 36742464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58948320).

36742464 is an abundant number, since it is smaller than the sum of its proper divisors (81154176).

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

36742464 is a wasteful number, since it uses less digits than its factorization.

36742464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1965 (or 1949 counting only the distinct ones).

The product of its digits is 96768, while the sum is 36.

The square root of 36742464 is about 6061.5562358193. The cubic root of 36742464 is about 332.4472609364.

The spelling of 36742464 in words is "thirty-six million, seven hundred forty-two thousand, four hundred sixty-four".