3462166800 has 420 divisors, whose sum is σ = 12906983424. Its totient is φ = 891129600.

The previous prime is 3462166783. The next prime is 3462166853. The reversal of 3462166800 is 86612643.

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

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 9039409 + ... + 9039791.

Almost surely, 2^3462166800 is an apocalyptic number.

3462166800 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 3462166800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6453491712).

3462166800 is an abundant number, since it is smaller than the sum of its proper divisors (9444816624).

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

3462166800 is a wasteful number, since it uses less digits than its factorization.

3462166800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 3462166800 is about 58840.1801492823. The cubic root of 3462166800 is about 1512.8039941753.

The spelling of 3462166800 in words is "three billion, four hundred sixty-two million, one hundred sixty-six thousand, eight hundred".