3540883096800 has 576 divisors, whose sum is σ = 14658471797760. Its totient is φ = 808082749440.

The previous prime is 3540883096781. The next prime is 3540883096843. The reversal of 3540883096800 is 86903880453.

It is a happy number.

3540883096800 is a `hidden beast` number, since 3 + 540 + 8 + 8 + 3 + 0 + 96 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 98715669 + ... + 98751531.

It is an arithmetic number, because the mean of its divisors is an integer number (25448735760).

Almost surely, 2^{3540883096800} is an apocalyptic number.

3540883096800 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 3540883096800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7329235898880).

3540883096800 is an abundant number, since it is smaller than the sum of its proper divisors (11117588700960).

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

3540883096800 is a wasteful number, since it uses less digits than its factorization.

3540883096800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36552 (or 36533 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 3540883096800 in words is "three trillion, five hundred forty billion, eight hundred eighty-three million, ninety-six thousand, eight hundred".