3404873752900 has 27 divisors (see below), whose sum is σ = 7388616085501. Its totient is φ = 1361942120240.

The previous prime is 3404873752883. The next prime is 3404873752909. The reversal of 3404873752900 is 92573784043.

The square root of 3404873752900 is 1845230.

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

It can be written as a sum of positive squares in only one way, i.e., 1225754551044 + 2179119201856 = 1107138^2 + 1476184^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3404873752909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18360039 + ... + 18544561.

Almost surely, 2^{3404873752900} is an apocalyptic number.

3404873752900 is the 1845230-th square number.

It is an amenable number.

3404873752900 is an abundant number, since it is smaller than the sum of its proper divisors (3983742332601).

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

3404873752900 is an frugal number, since it uses more digits than its factorization.

3404873752900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369060 (or 184530 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 52.

The spelling of 3404873752900 in words is "three trillion, four hundred four billion, eight hundred seventy-three million, seven hundred fifty-two thousand, nine hundred".