338482379040 has 384 divisors, whose sum is σ = 1166710728960. Its totient is φ = 81988927488.

The previous prime is 338482379033. The next prime is 338482379093. The reversal of 338482379040 is 40973284833.

It is a super-2 number, since 2×338482379040² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 104824146 + ... + 104827374.

It is an arithmetic number, because the mean of its divisors is an integer number (3038309190).

Almost surely, 2^338482379040 is an apocalyptic number.

338482379040 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 338482379040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (583355364480).

338482379040 is an abundant number, since it is smaller than the sum of its proper divisors (828228349920).

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

338482379040 is a wasteful number, since it uses less digits than its factorization.

338482379040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3524 (or 3516 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 51.

The spelling of 338482379040 in words is "three hundred thirty-eight billion, four hundred eighty-two million, three hundred seventy-nine thousand, forty".