738737280 has 128 divisors (see below), whose sum is σ = 2616422400. Its totient is φ = 196992000.

The previous prime is 738737273. The next prime is 738737327. The reversal of 738737280 is 82737837.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4096 + ... + 38655.

It is an arithmetic number, because the mean of its divisors is an integer number (20440800).

Almost surely, 2^738737280 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 738737280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1308211200).

738737280 is an abundant number, since it is smaller than the sum of its proper divisors (1877685120).

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

738737280 is a wasteful number, since it uses less digits than its factorization.

738737280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42779 (or 42761 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 45.

The square root of 738737280 is about 27179.7218528814. The cubic root of 738737280 is about 903.9894012906.

The spelling of 738737280 in words is "seven hundred thirty-eight million, seven hundred thirty-seven thousand, two hundred eighty".