838397952 has 390 divisors, whose sum is σ = 3020906328. Its totient is φ = 226934784.

The previous prime is 838397951. The next prime is 838398017. The reversal of 838397952 is 259793838.

It is a happy number.

It is a super-2 number, since 2×838397952² = 1405822251835588608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (3265920) is a multiple of the sum of its prime factors (81).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (838397951) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 44126199 + ... + 44126217.

Almost surely, 2^838397952 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 838397952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1510453164).

838397952 is an abundant number, since it is smaller than the sum of its proper divisors (2182508376).

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

838397952 is an equidigital number, since it uses as much as digits as its factorization.

838397952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 31 counting only the distinct ones).

The product of its digits is 3265920, while the sum is 54.

The square root of 838397952 is about 28955.1023482909. The cubic root of 838397952 is about 942.9385752571.

The spelling of 838397952 in words is "eight hundred thirty-eight million, three hundred ninety-seven thousand, nine hundred fifty-two".