3748891824 has 240 divisors, whose sum is σ = 11406769920. Its totient is φ = 1145664000.

The previous prime is 3748891819. The next prime is 3748891847. The reversal of 3748891824 is 4281988473.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14935699 + ... + 14935949.

It is an arithmetic number, because the mean of its divisors is an integer number (47528208).

Almost surely, 2^3748891824 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 3748891824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5703384960).

3748891824 is an abundant number, since it is smaller than the sum of its proper divisors (7657878096).

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

3748891824 is a wasteful number, since it uses less digits than its factorization.

3748891824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 431 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The square root of 3748891824 is about 61228.1946818620. The cubic root of 3748891824 is about 1553.4631996555.

The spelling of 3748891824 in words is "three billion, seven hundred forty-eight million, eight hundred ninety-one thousand, eight hundred twenty-four".