336109438478880 has 960 divisors, whose sum is σ = 1298663619821568. Its totient is φ = 81189171210240.

The previous prime is 336109438478873. The next prime is 336109438478903. The reversal of 336109438478880 is 88874834901633.

336109438478880 is a `hidden beast` number, since 3 + 3 + 6 + 1 + 0 + 94 + 384 + 7 + 88 + 80 = 666.

It is a super-2 number, since 2×336109438478880² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 336109438478799 and 336109438478808.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 87007359829 + ... + 87007363691.

Almost surely, 2^{336109438478880} is an apocalyptic number.

336109438478880 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 336109438478880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (649331809910784).

336109438478880 is an abundant number, since it is smaller than the sum of its proper divisors (962554181342688).

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

336109438478880 is a wasteful number, since it uses less digits than its factorization.

336109438478880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5931 (or 5914 counting only the distinct ones).

The product of its (nonzero) digits is 668860416, while the sum is 72.

The spelling of 336109438478880 in words is "three hundred thirty-six trillion, one hundred nine billion, four hundred thirty-eight million, four hundred seventy-eight thousand, eight hundred eighty".