738278640 has 360 divisors, whose sum is σ = 2823663024. Its totient is φ = 171417600.

The previous prime is 738278627. The next prime is 738278641. The reversal of 738278640 is 46872837.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Smith number, since the sum of its digits (45) 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 (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (738278641) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7611072 + ... + 7611168.

Almost surely, 2^738278640 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 738278640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1411831512).

738278640 is an abundant number, since it is smaller than the sum of its proper divisors (2085384384).

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

738278640 is a wasteful number, since it uses less digits than its factorization.

738278640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The square root of 738278640 is about 27171.2833704998. The cubic root of 738278640 is about 903.8022840111.

It can be divided in two parts, 738 and 278640, that added together give a triangular number (279378 = T₇₄₇).

The spelling of 738278640 in words is "seven hundred thirty-eight million, two hundred seventy-eight thousand, six hundred forty".