348781332816 has 360 divisors, whose sum is σ = 1200713649408. Its totient is φ = 94082688000.

The previous prime is 348781332799. The next prime is 348781332853. The reversal of 348781332816 is 618233187843.

It is a happy number.

348781332816 is a `hidden beast` number, since 3 + 487 + 8 + 133 + 28 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 8948731 + ... + 8987621.

Almost surely, 2^348781332816 is an apocalyptic number.

348781332816 is a gapful number since it is divisible by the number (36) 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 348781332816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600356824704).

348781332816 is an abundant number, since it is smaller than the sum of its proper divisors (851932316592).

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

348781332816 is a wasteful number, since it uses less digits than its factorization.

348781332816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38991 (or 38975 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 54.

The spelling of 348781332816 in words is "three hundred forty-eight billion, seven hundred eighty-one million, three hundred thirty-two thousand, eight hundred sixteen".