736120944 has 120 divisors (see below), whose sum is σ = 2349193392. Its totient is φ = 213166080.

The previous prime is 736120939. The next prime is 736120951. The reversal of 736120944 is 449021637.

It is a super-2 number, since 2×736120944² = 1083748088390902272, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 736120899 and 736120908.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20259 + ... + 43389.

Almost surely, 2^736120944 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 736120944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1174596696).

736120944 is an abundant number, since it is smaller than the sum of its proper divisors (1613072448).

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

736120944 is a wasteful number, since it uses less digits than its factorization.

736120944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23175 (or 23166 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 736120944 is about 27131.5488684299. The cubic root of 736120944 is about 902.9209394990.

The spelling of 736120944 in words is "seven hundred thirty-six million, one hundred twenty thousand, nine hundred forty-four".