338347376640 has 1440 divisors, whose sum is σ = 1517578702080. Its totient is φ = 69646417920.

The previous prime is 338347376623. The next prime is 338347376669. The reversal of 338347376640 is 46673743833.

It is a happy number.

338347376640 is a `hidden beast` number, since 33 + 83 + 473 + 7 + 6 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×338347376640² (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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8252375020 + ... + 8252375060.

Almost surely, 2^338347376640 is an apocalyptic number.

338347376640 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 338347376640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758789351040).

338347376640 is an abundant number, since it is smaller than the sum of its proper divisors (1179231325440).

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

338347376640 is an equidigital number, since it uses as much as digits as its factorization.

338347376640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 54.

The spelling of 338347376640 in words is "three hundred thirty-eight billion, three hundred forty-seven million, three hundred seventy-six thousand, six hundred forty".