838734480000 has 1280 divisors, whose sum is σ = 3303742464000. Its totient is φ = 208811520000.

The previous prime is 838734479971. The next prime is 838734480053. The reversal of 838734480000 is 84437838.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4391279905 + ... + 4391280095.

It is an arithmetic number, because the mean of its divisors is an integer number (2581048800).

Almost surely, 2^838734480000 is an apocalyptic number.

838734480000 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 838734480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651871232000).

838734480000 is an abundant number, since it is smaller than the sum of its proper divisors (2465007984000).

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

838734480000 is a wasteful number, since it uses less digits than its factorization.

838734480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360 (or 327 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 838734480000 in words is "eight hundred thirty-eight billion, seven hundred thirty-four million, four hundred eighty thousand".