736640352 has 192 divisors, whose sum is σ = 2535321600. Its totient is φ = 203627520.

The previous prime is 736640351. The next prime is 736640371. The reversal of 736640352 is 253046637.

736640352 is a `hidden beast` number, since 7 + 3 + 6 + 640 + 3 + 5 + 2 = 666.

736640352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (736640351) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185524 + ... + 189452.

It is an arithmetic number, because the mean of its divisors is an integer number (13204800).

Almost surely, 2^736640352 is an apocalyptic number.

736640352 is a gapful number since it is divisible by the number (72) 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 736640352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1267660800).

736640352 is an abundant number, since it is smaller than the sum of its proper divisors (1798681248).

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

736640352 is a wasteful number, since it uses less digits than its factorization.

736640352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3986 (or 3972 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The square root of 736640352 is about 27141.1192105263. The cubic root of 736640352 is about 903.1332570088.

Adding to 736640352 its reverse (253046637), we get a palindrome (989686989).

The spelling of 736640352 in words is "seven hundred thirty-six million, six hundred forty thousand, three hundred fifty-two".