3482680375440 has 720 divisors, whose sum is σ = 14073597517824. Its totient is φ = 755771627520.

The previous prime is 3482680375411. The next prime is 3482680375441. The reversal of 3482680375440 is 445730862843.

3482680375440 is a `hidden beast` number, since 3 + 4 + 8 + 2 + 68 + 0 + 37 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is not an unprimeable number, because it can be changed into a prime (3482680375441) 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 143 ways as a sum of consecutive naturals, for example, 256695537 + ... + 256709103.

Almost surely, 2^{3482680375440} is an apocalyptic number.

3482680375440 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 3482680375440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7036798758912).

3482680375440 is an abundant number, since it is smaller than the sum of its proper divisors (10590917142384).

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

3482680375440 is a wasteful number, since it uses less digits than its factorization.

3482680375440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13708 (or 13668 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 3482680375440 in words is "three trillion, four hundred eighty-two billion, six hundred eighty million, three hundred seventy-five thousand, four hundred forty".