338417982720 has 864 divisors, whose sum is σ = 1318068003840. Its totient is φ = 82121195520.

The previous prime is 338417982691. The next prime is 338417982733. The reversal of 338417982720 is 27289714833.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×338417982720² (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 an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 309622494 + ... + 309623586.

Almost surely, 2^338417982720 is an apocalyptic number.

338417982720 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 338417982720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659034001920).

338417982720 is an abundant number, since it is smaller than the sum of its proper divisors (979650021120).

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

338417982720 is a wasteful number, since it uses less digits than its factorization.

338417982720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1188 (or 1151 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 54.

The spelling of 338417982720 in words is "three hundred thirty-eight billion, four hundred seventeen million, nine hundred eighty-two thousand, seven hundred twenty".