3466663200 has 1296 divisors, whose sum is σ = 16949290176. Its totient is φ = 646963200.

The previous prime is 3466663181. The next prime is 3466663217. The reversal of 3466663200 is 23666643.

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 215 ways as a sum of consecutive naturals, for example, 93693582 + ... + 93693618.

It is an arithmetic number, because the mean of its divisors is an integer number (13078156).

Almost surely, 2^3466663200 is an apocalyptic number.

3466663200 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 3466663200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8474645088).

3466663200 is an abundant number, since it is smaller than the sum of its proper divisors (13482626976).

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

3466663200 is a wasteful number, since it uses less digits than its factorization.

3466663200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 36.

The square root of 3466663200 is about 58878.3763363087. The cubic root of 3466663200 is about 1513.4586159464.

It can be divided in two parts, 346666 and 3200, that added together give a triangular number (349866 = T₈₃₆).

The spelling of 3466663200 in words is "three billion, four hundred sixty-six million, six hundred sixty-three thousand, two hundred".