3433866400 has 72 divisors (see below), whose sum is σ = 8609566140. Its totient is φ = 1336412160.

The previous prime is 3433866323. The next prime is 3433866461. The reversal of 3433866400 is 46683343.

It can be written as a sum of positive squares in 6 ways, for example, as 1152466704 + 2281399696 = 33948^2 + 47764^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 3433866400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28405 + ... + 87604.

Almost surely, 2^3433866400 is an apocalyptic number.

It is an amenable number.

3433866400 is an abundant number, since it is smaller than the sum of its proper divisors (5175699740).

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

3433866400 is a wasteful number, since it uses less digits than its factorization.

3433866400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116066 (or 116053 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 37.

The square root of 3433866400 is about 58599.2013597455. The cubic root of 3433866400 is about 1508.6707305282.

The spelling of 3433866400 in words is "three billion, four hundred thirty-three million, eight hundred sixty-six thousand, four hundred".