3538542412800 has 330 divisors, whose sum is σ = 13102814194778. Its totient is φ = 943610757120.

The previous prime is 3538542412771. The next prime is 3538542412813. The reversal of 3538542412800 is 82142458353.

3538542412800 is a `hidden beast` number, since 3 + 5 + 385 + 4 + 241 + 28 + 0 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 11478122496 + 3527064290304 = 107136^2 + 1878048^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 1220364 + ... + 2926836.

Almost surely, 2^{3538542412800} is an apocalyptic number.

3538542412800 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 3538542412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6551407097389).

3538542412800 is an abundant number, since it is smaller than the sum of its proper divisors (9564271781978).

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

3538542412800 is a wasteful number, since it uses less digits than its factorization.

3538542412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706515 (or 1706483 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 3538542412800 in words is "three trillion, five hundred thirty-eight billion, five hundred forty-two million, four hundred twelve thousand, eight hundred".