3748941504 has 336 divisors, whose sum is σ = 13500055296. Its totient is φ = 966297600.

The previous prime is 3748941463. The next prime is 3748941527. The reversal of 3748941504 is 4051498473.

It is a tau number, because it is divible by the number of its divisors (336).

It is a self number, because there is not a number n which added to its sum of digits gives 3748941504.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8027479 + ... + 8027945.

It is an arithmetic number, because the mean of its divisors is an integer number (40178736).

Almost surely, 2^3748941504 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 3748941504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6750027648).

3748941504 is an abundant number, since it is smaller than the sum of its proper divisors (9751113792).

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

3748941504 is a wasteful number, since it uses less digits than its factorization.

3748941504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 671 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The square root of 3748941504 is about 61228.6003759681. The cubic root of 3748941504 is about 1553.4700617465.

The spelling of 3748941504 in words is "three billion, seven hundred forty-eight million, nine hundred forty-one thousand, five hundred four".