3486142800 has 600 divisors, whose sum is σ = 15070017600. Its totient is φ = 753960960.

The previous prime is 3486142771. The next prime is 3486142801. The reversal of 3486142800 is 82416843.

3486142800 is a `hidden beast` number, since 34 + 8 + 614 + 2 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (600).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486142801) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 4308796 + ... + 4309604.

It is an arithmetic number, because the mean of its divisors is an integer number (25116696).

Almost surely, 2^3486142800 is an apocalyptic number.

3486142800 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 3486142800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7535008800).

3486142800 is an abundant number, since it is smaller than the sum of its proper divisors (11583874800).

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

3486142800 is a wasteful number, since it uses less digits than its factorization.

3486142800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3486142800 is about 59043.5669654197. The cubic root of 3486142800 is about 1516.2880918555.

The spelling of 3486142800 in words is "three billion, four hundred eighty-six million, one hundred forty-two thousand, eight hundred".