3483360400 has 135 divisors (see below), whose sum is σ = 9102141291. Its totient is φ = 1280497920.

The previous prime is 3483360389. The next prime is 3483360407. The reversal of 3483360400 is 40633843.

The square root of 3483360400 is 59020.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 897841296 + 2585519104 = 29964^2 + 50848^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3483360407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15345087 + ... + 15345313.

Almost surely, 2^3483360400 is an apocalyptic number.

3483360400 is the 59020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3483360400

3483360400 is an abundant number, since it is smaller than the sum of its proper divisors (5618780891).

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

3483360400 is a wasteful number, since it uses less digits than its factorization.

3483360400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 498 (or 247 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 31.

The cubic root of 3483360400 is about 1515.8845854451.

Multiplying 3483360400 by its product of nonzero digits (20736), we get a square (72230961254400 = 8498880²).

The spelling of 3483360400 in words is "three billion, four hundred eighty-three million, three hundred sixty thousand, four hundred".