3773890624 has 63 divisors (see below), whose sum is σ = 8719426173. Its totient is φ = 1615907328.

The previous prime is 3773890621. The next prime is 3773890643. The reversal of 3773890624 is 4260983773.

The square root of 3773890624 is 61432.

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., 1073217600 + 2700673024 = 32760^2 + 51968^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3773890621) 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, 3439644 + ... + 3440740.

Almost surely, 2^3773890624 is an apocalyptic number.

3773890624 is the 61432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3773890624

3773890624 is an abundant number, since it is smaller than the sum of its proper divisors (4945535549).

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

3773890624 is an frugal number, since it uses more digits than its factorization.

3773890624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 49.

The cubic root of 3773890624 is about 1556.9085478891.

Multiplying 3773890624 by its sum of digits (49), we get a square (184920640576 = 430024²).

3773890624 divided by its sum of digits (49) gives a square (77018176 = 8776²).

The spelling of 3773890624 in words is "three billion, seven hundred seventy-three million, eight hundred ninety thousand, six hundred twenty-four".