338976126720 has 2304 divisors, whose sum is σ = 1627560345600. Its totient is φ = 64656506880.

The previous prime is 338976126719. The next prime is 338976126721. The reversal of 338976126720 is 27621679833.

338976126720 is a `hidden beast` number, since 3 + 389 + 76 + 126 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (338976126719) and next prime (338976126721).

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×338976126720² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338976126721) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2669103297 + ... + 2669103423.

It is an arithmetic number, because the mean of its divisors is an integer number (706406400).

Almost surely, 2^338976126720 is an apocalyptic number.

338976126720 is a gapful number since it is divisible by the number (30) 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 338976126720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (813780172800).

338976126720 is an abundant number, since it is smaller than the sum of its proper divisors (1288584218880).

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

338976126720 is a wasteful number, since it uses less digits than its factorization.

338976126720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 338976126720 in words is "three hundred thirty-eight billion, nine hundred seventy-six million, one hundred twenty-six thousand, seven hundred twenty".