336925416434880 has 1792 divisors, whose sum is σ = 1387477209710592. Its totient is φ = 67361808384000.

The previous prime is 336925416434851. The next prime is 336925416434881. The reversal of 336925416434880 is 88434614529633.

It is a happy number.

It is a super-2 number, since 2×336925416434880² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (336925416434881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81957044025 + ... + 81957048135.

It is an arithmetic number, because the mean of its divisors is an integer number (774261835776).

Almost surely, 2^{336925416434880} is an apocalyptic number.

336925416434880 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 336925416434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693738604855296).

336925416434880 is an abundant number, since it is smaller than the sum of its proper divisors (1050551793275712).

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

336925416434880 is a wasteful number, since it uses less digits than its factorization.

336925416434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4806 (or 4796 counting only the distinct ones).

The product of its (nonzero) digits is 358318080, while the sum is 66.

The spelling of 336925416434880 in words is "three hundred thirty-six trillion, nine hundred twenty-five billion, four hundred sixteen million, four hundred thirty-four thousand, eight hundred eighty".