3753988992 has 384 divisors, whose sum is σ = 12475008000. Its totient is φ = 1073958912.

The previous prime is 3753988991. The next prime is 3753989003. The reversal of 3753988992 is 2998893573.

3753988992 is a `hidden beast` number, since 3 + 7 + 539 + 8 + 8 + 9 + 92 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3753988991) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22478893 + ... + 22479059.

It is an arithmetic number, because the mean of its divisors is an integer number (32487000).

Almost surely, 2^3753988992 is an apocalyptic number.

3753988992 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 3753988992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6237504000).

3753988992 is an abundant number, since it is smaller than the sum of its proper divisors (8721019008).

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

3753988992 is a wasteful number, since it uses less digits than its factorization.

3753988992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 283 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The square root of 3753988992 is about 61269.8048960497. The cubic root of 3753988992 is about 1554.1669344577.

The spelling of 3753988992 in words is "three billion, seven hundred fifty-three million, nine hundred eighty-eight thousand, nine hundred ninety-two".