3735268992 has 640 divisors, whose sum is σ = 14182439040. Its totient is φ = 949542912.

The previous prime is 3735268973. The next prime is 3735268997. The reversal of 3735268992 is 2998625373.

It is a happy number.

3735268992 is a `hidden beast` number, since 37 + 3 + 526 + 89 + 9 + 2 = 666.

3735268992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3735268997) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 34909003 + ... + 34909109.

It is an arithmetic number, because the mean of its divisors is an integer number (22160061).

Almost surely, 2^3735268992 is an apocalyptic number.

3735268992 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 3735268992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7091219520).

3735268992 is an abundant number, since it is smaller than the sum of its proper divisors (10447170048).

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

3735268992 is a wasteful number, since it uses less digits than its factorization.

3735268992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190 (or 169 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 54.

The square root of 3735268992 is about 61116.8470390939. The cubic root of 3735268992 is about 1551.5792425846.

The spelling of 3735268992 in words is "three billion, seven hundred thirty-five million, two hundred sixty-eight thousand, nine hundred ninety-two".