341378366883840 has 768 divisors, whose sum is σ = 1425642776812800. Its totient is φ = 76392352972800.

The previous prime is 341378366883839. The next prime is 341378366883899. The reversal of 341378366883840 is 48388663873143.

It is a happy number.

341378366883840 is a `hidden beast` number, since 3 + 4 + 1 + 37 + 83 + 66 + 88 + 384 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35219400 + ... + 43853880.

It is an arithmetic number, because the mean of its divisors is an integer number (1856305698975).

Almost surely, 2^{341378366883840} is an apocalyptic number.

341378366883840 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 341378366883840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712821388406400).

341378366883840 is an abundant number, since it is smaller than the sum of its proper divisors (1084264409928960).

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

341378366883840 is a wasteful number, since it uses less digits than its factorization.

341378366883840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8634541 (or 8634515 counting only the distinct ones).

The product of its (nonzero) digits is 1337720832, while the sum is 72.

The spelling of 341378366883840 in words is "three hundred forty-one trillion, three hundred seventy-eight billion, three hundred sixty-six million, eight hundred eighty-three thousand, eight hundred forty".