3753477504 has 192 divisors, whose sum is σ = 12411360000. Its totient is φ = 1066576896.

The previous prime is 3753477421. The next prime is 3753477509. The reversal of 3753477504 is 4057743573.

3753477504 is a `hidden beast` number, since 3 + 75 + 3 + 4 + 77 + 504 = 666.

3753477504 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 a tau number, because it is divible by the number of its divisors (192).

It is a self number, because there is not a number n which added to its sum of digits gives 3753477504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753477509) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603567 + ... + 1605905.

It is an arithmetic number, because the mean of its divisors is an integer number (64642500).

Almost surely, 2^3753477504 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 3753477504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6205680000).

3753477504 is an abundant number, since it is smaller than the sum of its proper divisors (8657882496).

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

3753477504 is a wasteful number, since it uses less digits than its factorization.

3753477504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2565 (or 2550 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 45.

The square root of 3753477504 is about 61265.6306912775. The cubic root of 3753477504 is about 1554.0963452041.

The spelling of 3753477504 in words is "three billion, seven hundred fifty-three million, four hundred seventy-seven thousand, five hundred four".