738278016 has 128 divisors (see below), whose sum is σ = 2249842560. Its totient is φ = 210124800.

The previous prime is 738278011. The next prime is 738278017. The reversal of 738278016 is 610872837.

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 (42).

It is not an unprimeable number, because it can be changed into a prime (738278011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1228116 + ... + 1228716.

It is an arithmetic number, because the mean of its divisors is an integer number (17576895).

Almost surely, 2^738278016 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 738278016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124921280).

738278016 is an abundant number, since it is smaller than the sum of its proper divisors (1511564544).

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

738278016 is a wasteful number, since it uses less digits than its factorization.

738278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1082 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 42.

The square root of 738278016 is about 27171.2718877862. The cubic root of 738278016 is about 903.8020293770.

The spelling of 738278016 in words is "seven hundred thirty-eight million, two hundred seventy-eight thousand, sixteen".