838434240 has 280 divisors, whose sum is σ = 3409261152. Its totient is φ = 191600640.

The previous prime is 838434217. The next prime is 838434263. The reversal of 838434240 is 42434838.

838434240 is a `hidden beast` number, since 8 + 384 + 34 + 240 = 666.

It is an interprime number because it is at equal distance from previous prime (838434217) and next prime (838434263).

It is a tau number, because it is divible by the number of its divisors (280).

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 = 838434195 and 838434204.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 179130 + ... + 183750.

Almost surely, 2^838434240 is an apocalyptic number.

838434240 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 838434240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1704630576).

838434240 is an abundant number, since it is smaller than the sum of its proper divisors (2570826912).

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

838434240 is a wasteful number, since it uses less digits than its factorization.

838434240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4657 (or 4638 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 838434240 is about 28955.7289668211. The cubic root of 838434240 is about 942.9521793224.

It can be divided in two parts, 8384 and 34240, that added together give a palindrome (42624).

The spelling of 838434240 in words is "eight hundred thirty-eight million, four hundred thirty-four thousand, two hundred forty".