3366641600 has 84 divisors (see below), whose sum is σ = 9467508624. Its totient is φ = 1154273280.

The previous prime is 3366641599. The next prime is 3366641617. The reversal of 3366641600 is 61466633.

3366641600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3366641600² = 22668551325701120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 139097 + ... + 161496.

It is an arithmetic number, because the mean of its divisors is an integer number (112708436).

Almost surely, 2^3366641600 is an apocalyptic number.

It is an amenable number.

3366641600 is an abundant number, since it is smaller than the sum of its proper divisors (6100867024).

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

3366641600 is a wasteful number, since it uses less digits than its factorization.

3366641600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300622 (or 300607 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 35.

The square root of 3366641600 is about 58022.7679450059. The cubic root of 3366641600 is about 1498.7606948824.

The spelling of 3366641600 in words is "three billion, three hundred sixty-six million, six hundred forty-one thousand, six hundred".