738181920 has 384 divisors, whose sum is σ = 2895298560. Its totient is φ = 154275840.

The previous prime is 738181907. The next prime is 738181937. The reversal of 738181920 is 29181837.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1978854 + ... + 1979226.

It is an arithmetic number, because the mean of its divisors is an integer number (7539840).

Almost surely, 2^738181920 is an apocalyptic number.

738181920 is a gapful number since it is divisible by the number (70) 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 738181920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447649280).

738181920 is an abundant number, since it is smaller than the sum of its proper divisors (2157116640).

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

738181920 is a wasteful number, since it uses less digits than its factorization.

738181920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 39.

The square root of 738181920 is about 27169.5034919669. The cubic root of 738181920 is about 903.7628140108.

The spelling of 738181920 in words is "seven hundred thirty-eight million, one hundred eighty-one thousand, nine hundred twenty".