3466441800 has 72 divisors (see below), whose sum is σ = 11641473090. Its totient is φ = 924384000.

The previous prime is 3466441789. The next prime is 3466441819. The reversal of 3466441800 is 81446643.

3466441800 is a `hidden beast` number, since 3 + 4 + 6 + 644 + 1 + 8 + 0 + 0 = 666.

3466441800 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 2583282276 + 883159524 = 50826^2 + 29718^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 17 ways as a sum of consecutive naturals, for example, 961101 + ... + 964700.

Almost surely, 2^3466441800 is an apocalyptic number.

3466441800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3466441800 is an abundant number, since it is smaller than the sum of its proper divisors (8175031290).

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

3466441800 is a wasteful number, since it uses less digits than its factorization.

3466441800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1925823 (or 1925811 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 3466441800 is about 58876.4961593334. The cubic root of 3466441800 is about 1513.4263960227.

The spelling of 3466441800 in words is "three billion, four hundred sixty-six million, four hundred forty-one thousand, eight hundred".