3744885312 has 280 divisors, whose sum is σ = 13100060160. Its totient is φ = 1035141120.

The previous prime is 3744885301. The next prime is 3744885349. The reversal of 3744885312 is 2135884473.

3744885312 is a `hidden beast` number, since 3 + 74 + 48 + 8 + 531 + 2 = 666.

3744885312 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1123264 + ... + 1126592.

Almost surely, 2^3744885312 is an apocalyptic number.

3744885312 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3744885312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6550030080).

3744885312 is an abundant number, since it is smaller than the sum of its proper divisors (9355174848).

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

3744885312 is a wasteful number, since it uses less digits than its factorization.

3744885312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3391 (or 3372 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The square root of 3744885312 is about 61195.4680674966. The cubic root of 3744885312 is about 1552.9095971702.

It can be divided in two parts, 37448 and 85312, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 3744885312 in words is "three billion, seven hundred forty-four million, eight hundred eighty-five thousand, three hundred twelve".