3486883982400 has 3969 divisors, whose sum is σ = 17101590296751. Its totient is φ = 696973455360.

The previous prime is 3486883982389. The next prime is 3486883982401. The reversal of 3486883982400 is 42893886843.

The square root of 3486883982400 is 1867320.

It is a perfect power (a square), and thus also a powerful number.

3486883982400 is a `hidden beast` number, since 3 + 4 + 8 + 68 + 83 + 98 + 2 + 400 = 666.

3486883982400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 898749504576 + 2588134477824 = 948024^2 + 1608768^2 .

It is a tau number, because it is divible by the number of its divisors (3969).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3486883982401) by changing a digit.

It is a polite number, since it can be written in 566 ways as a sum of consecutive naturals, for example, 183520209591 + ... + 183520209609.

Almost surely, 2^{3486883982400} is an apocalyptic number.

3486883982400 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

3486883982400 is the 1867320-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3486883982400

3486883982400 is an abundant number, since it is smaller than the sum of its proper divisors (13614706314351).

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

3486883982400 is a wasteful number, since it uses less digits than its factorization.

3486883982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 3486883982400 in words is "three trillion, four hundred eighty-six billion, eight hundred eighty-three million, nine hundred eighty-two thousand, four hundred".