339968378880 has 960 divisors, whose sum is σ = 1346041897200. Its totient is φ = 81537269760.

The previous prime is 339968378851. The next prime is 339968378891. The reversal of 339968378880 is 88873869933.

339968378880 is a `hidden beast` number, since 3 + 399 + 6 + 83 + 7 + 88 + 80 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 11171644416 + 328796734464 = 105696^2 + 573408^2 .

It is a tau number, because it is divible by the number of its divisors (960).

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 = 339968378799 and 339968378808.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 442091136 + ... + 442091904.

Almost surely, 2^339968378880 is an apocalyptic number.

339968378880 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 339968378880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (673020948600).

339968378880 is an abundant number, since it is smaller than the sum of its proper divisors (1006073518320).

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

339968378880 is a wasteful number, since it uses less digits than its factorization.

339968378880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 862 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 339968378880 in words is "three hundred thirty-nine billion, nine hundred sixty-eight million, three hundred seventy-eight thousand, eight hundred eighty".