3749357824 has 81 divisors (see below), whose sum is σ = 7749224553. Its totient is φ = 1810507776.

The previous prime is 3749357819. The next prime is 3749357839. The reversal of 3749357824 is 4287539473.

The square root of 3749357824 is 61232.

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

3749357824 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 719956224 + 3029401600 = 26832^2 + 55040^2 .

It is a Duffinian number.

Its product of digits (5080320) is a multiple of the sum of its prime factors (280).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42127572 + ... + 42127660.

Almost surely, 2^3749357824 is an apocalyptic number.

3749357824 is the 61232-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3749357824

3749357824 is an abundant number, since it is smaller than the sum of its proper divisors (3999866729).

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

3749357824 is an frugal number, since it uses more digits than its factorization.

3749357824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280 (or 134 counting only the distinct ones).

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

The cubic root of 3749357824 is about 1553.5275639079.

The spelling of 3749357824 in words is "three billion, seven hundred forty-nine million, three hundred fifty-seven thousand, eight hundred twenty-four".