838226340 has 288 divisors, whose sum is σ = 3079641600. Its totient is φ = 188697600.

The previous prime is 838226339. The next prime is 838226351. The reversal of 838226340 is 43622838.

838226340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 838226295 and 838226304.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2090140 + ... + 2090540.

It is an arithmetic number, because the mean of its divisors is an integer number (10693200).

Almost surely, 2^838226340 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 838226340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1539820800).

838226340 is an abundant number, since it is smaller than the sum of its proper divisors (2241415260).

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

838226340 is a wasteful number, since it uses less digits than its factorization.

838226340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 838226340 is about 28952.1387810987. The cubic root of 838226340 is about 942.8742340467.

The spelling of 838226340 in words is "eight hundred thirty-eight million, two hundred twenty-six thousand, three hundred forty".