3731984256 has 768 divisors, whose sum is σ = 14455929600. Its totient is φ = 836075520.

The previous prime is 3731984231. The next prime is 3731984261. The reversal of 3731984256 is 6524891373.

3731984256 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (48).

Its product of digits (1088640) is a multiple of the sum of its prime divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 51123036 + ... + 51123108.

It is an arithmetic number, because the mean of its divisors is an integer number (18822825).

Almost surely, 2^3731984256 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 3731984256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7227964800).

3731984256 is an abundant number, since it is smaller than the sum of its proper divisors (10723945344).

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

3731984256 is a wasteful number, since it uses less digits than its factorization.

3731984256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 128 counting only the distinct ones).

The product of its digits is 1088640, while the sum is 48.

The square root of 3731984256 is about 61089.9685382142. The cubic root of 3731984256 is about 1551.1242978518.

The spelling of 3731984256 in words is "three billion, seven hundred thirty-one million, nine hundred eighty-four thousand, two hundred fifty-six".