3542286412800 has 396 divisors, whose sum is σ = 12691367510016. Its totient is φ = 943991193600.

The previous prime is 3542286412787. The next prime is 3542286412823. The reversal of 3542286412800 is 82146822453.

3542286412800 is a `hidden beast` number, since 3 + 5 + 4 + 228 + 6 + 412 + 8 + 0 + 0 = 666.

It is a super-3 number, since 3×3542286412800³ (a number of 39 digits) contains 333 as substring.

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 35 ways as a sum of consecutive naturals, for example, 432456705 + ... + 432464895.

Almost surely, 2^{3542286412800} is an apocalyptic number.

3542286412800 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 3542286412800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6345683755008).

3542286412800 is an abundant number, since it is smaller than the sum of its proper divisors (9149081097216).

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

3542286412800 is a wasteful number, since it uses less digits than its factorization.

3542286412800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10104 (or 10078 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 3542286412800 in words is "three trillion, five hundred forty-two billion, two hundred eighty-six million, four hundred twelve thousand, eight hundred".