338964890760 has 384 divisors, whose sum is σ = 1158485328000. Its totient is φ = 85871923200.

The previous prime is 338964890753. The next prime is 338964890773. The reversal of 338964890760 is 67098469833.

338964890760 is a `hidden beast` number, since 3 + 3 + 8 + 96 + 489 + 0 + 7 + 60 = 666.

It is a super-2 number, since 2×338964890760² (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 94919775 + ... + 94923345.

It is an arithmetic number, because the mean of its divisors is an integer number (3016888875).

Almost surely, 2^338964890760 is an apocalyptic number.

338964890760 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 338964890760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579242664000).

338964890760 is an abundant number, since it is smaller than the sum of its proper divisors (819520437240).

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

338964890760 is a wasteful number, since it uses less digits than its factorization.

338964890760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3797 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 338964890760 in words is "three hundred thirty-eight billion, nine hundred sixty-four million, eight hundred ninety thousand, seven hundred sixty".