738331920 has 120 divisors (see below), whose sum is σ = 2484620736. Its totient is φ = 196487424.

The previous prime is 738331903. The next prime is 738331927. The reversal of 738331920 is 29133837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is not an unprimeable number, because it can be changed into a prime (738331927) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 565989 + ... + 567291.

Almost surely, 2^738331920 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 738331920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242310368).

738331920 is an abundant number, since it is smaller than the sum of its proper divisors (1746288816).

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

738331920 is a wasteful number, since it uses less digits than its factorization.

738331920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2109 (or 2100 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 738331920 is about 27172.2637996910. The cubic root of 738331920 is about 903.8240253180.

The spelling of 738331920 in words is "seven hundred thirty-eight million, three hundred thirty-one thousand, nine hundred twenty".