3729224454400 has 243 divisors, whose sum is σ = 9361878657103. Its totient is φ = 1470740992000.

The previous prime is 3729224454383. The next prime is 3729224454463. The reversal of 3729224454400 is 44544229273.

The square root of 3729224454400 is 1931120.

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 688581316864 + 3040643137536 = 829808^2 + 1743744^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15603449481 + ... + 15603449719.

Almost surely, 2^{3729224454400} is an apocalyptic number.

3729224454400 is the 1931120-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3729224454400

3729224454400 is an abundant number, since it is smaller than the sum of its proper divisors (5632654202703).

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

3729224454400 is an frugal number, since it uses more digits than its factorization.

3729224454400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 706 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 46.

The spelling of 3729224454400 in words is "three trillion, seven hundred twenty-nine billion, two hundred twenty-four million, four hundred fifty-four thousand, four hundred".