3748827264 has 256 divisors, whose sum is σ = 12436623360. Its totient is φ = 974131200.

The previous prime is 3748827263. The next prime is 3748827289. The reversal of 3748827264 is 4627288473.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (3748827263) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2480269 + ... + 2481779.

It is an arithmetic number, because the mean of its divisors is an integer number (48580560).

Almost surely, 2^3748827264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3748827264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218311680).

3748827264 is an abundant number, since it is smaller than the sum of its proper divisors (8687796096).

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

3748827264 is a wasteful number, since it uses less digits than its factorization.

3748827264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1619 (or 1607 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 51.

The square root of 3748827264 is about 61227.6674714953. The cubic root of 3748827264 is about 1553.4542821616.

The spelling of 3748827264 in words is "three billion, seven hundred forty-eight million, eight hundred twenty-seven thousand, two hundred sixty-four".