838323360 has 324 divisors, whose sum is σ = 3358655118. Its totient is φ = 189858816.

The previous prime is 838323347. The next prime is 838323371. The reversal of 838323360 is 63323838.

It can be written as a sum of positive squares in 3 ways, for example, as 782432784 + 55890576 = 27972^2 + 7476^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 7690986 + ... + 7691094.

Almost surely, 2^838323360 is an apocalyptic number.

838323360 is a gapful number since it is divisible by the number (80) 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 838323360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1679327559).

838323360 is an abundant number, since it is smaller than the sum of its proper divisors (2520331758).

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

838323360 is a wasteful number, since it uses less digits than its factorization.

838323360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 838323360 is about 28953.8142565017. The cubic root of 838323360 is about 942.9106101124.

The spelling of 838323360 in words is "eight hundred thirty-eight million, three hundred twenty-three thousand, three hundred sixty".