338708748672 has 384 divisors, whose sum is σ = 1143365670720. Its totient is φ = 94224384000.

The previous prime is 338708748643. The next prime is 338708748673. The reversal of 338708748672 is 276847807833.

338708748672 is a `hidden beast` number, since 3 + 3 + 8 + 7 + 0 + 87 + 486 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×338708748672² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338708748673) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 282021672 + ... + 282022872.

Almost surely, 2^338708748672 is an apocalyptic number.

338708748672 is a gapful number since it is divisible by the number (32) 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 338708748672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571682835360).

338708748672 is an abundant number, since it is smaller than the sum of its proper divisors (804656922048).

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

338708748672 is a wasteful number, since it uses less digits than its factorization.

338708748672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2122 (or 2107 counting only the distinct ones).

The product of its (nonzero) digits is 75866112, while the sum is 63.

The spelling of 338708748672 in words is "three hundred thirty-eight billion, seven hundred eight million, seven hundred forty-eight thousand, six hundred seventy-two".