3753504000 has 216 divisors, whose sum is σ = 13507238472. Its totient is φ = 1000857600.

The previous prime is 3753503983. The next prime is 3753504023. The reversal of 3753504000 is 4053573.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 84052224 + 3669451776 = 9168^2 + 60576^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281484 + ... + 294516.

Almost surely, 2^3753504000 is an apocalyptic number.

3753504000 is a gapful number since it is divisible by the number (30) 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 3753504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6753619236).

3753504000 is an abundant number, since it is smaller than the sum of its proper divisors (9753734472).

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

3753504000 is a wasteful number, since it uses less digits than its factorization.

3753504000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13070 (or 13043 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 27.

The square root of 3753504000 is about 61265.8469295904. The cubic root of 3753504000 is about 1554.1000020121.

Adding to 3753504000 its reverse (4053573), we get a palindrome (3757557573).

The spelling of 3753504000 in words is "three billion, seven hundred fifty-three million, five hundred four thousand".