3903264046224 has 135 divisors (see below), whose sum is σ = 11109847452249. Its totient is φ = 1279284543360.

The previous prime is 3903264046139. The next prime is 3903264046277. The reversal of 3903264046224 is 4226404623093.

The square root of 3903264046224 is 1975668.

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

3903264046224 is a `hidden beast` number, since 390 + 32 + 6 + 4 + 0 + 4 + 6 + 224 = 666.

It can be written as a sum of positive squares in only one way, i.e., 126926887824 + 3776337158400 = 356268^2 + 1943280^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 3903264046224.

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, 1446187627 + ... + 1446190325.

Almost surely, 2^{3903264046224} is an apocalyptic number.

3903264046224 is the 1975668-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3903264046224

3903264046224 is an abundant number, since it is smaller than the sum of its proper divisors (7206583406025).

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

3903264046224 is an frugal number, since it uses more digits than its factorization.

3903264046224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5534 (or 2765 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 45.

The spelling of 3903264046224 in words is "three trillion, nine hundred three billion, two hundred sixty-four million, forty-six thousand, two hundred twenty-four".