3735952992 has 144 divisors (see below), whose sum is σ = 10773453600. Its totient is φ = 1227964416.

The previous prime is 3735952981. The next prime is 3735952993. The reversal of 3735952992 is 2992595373.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3735952993) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 8320384 + ... + 8320832.

It is an arithmetic number, because the mean of its divisors is an integer number (74815650).

Almost surely, 2^3735952992 is an apocalyptic number.

3735952992 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 3735952992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5386726800).

3735952992 is an abundant number, since it is smaller than the sum of its proper divisors (7037500608).

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

3735952992 is a wasteful number, since it uses less digits than its factorization.

3735952992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 805 (or 794 counting only the distinct ones).

The product of its digits is 4592700, while the sum is 54.

The square root of 3735952992 is about 61122.4426213482. The cubic root of 3735952992 is about 1551.6739448608.

The spelling of 3735952992 in words is "three billion, seven hundred thirty-five million, nine hundred fifty-two thousand, nine hundred ninety-two".