3793028736 has 256 divisors, whose sum is σ = 11932139520. Its totient is φ = 1045094400.

The previous prime is 3793028731. The next prime is 3793028801. The reversal of 3793028736 is 6378203973.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (3793028731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13996281 + ... + 13996551.

It is an arithmetic number, because the mean of its divisors is an integer number (46609920).

Almost surely, 2^3793028736 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 3793028736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5966069760).

3793028736 is an abundant number, since it is smaller than the sum of its proper divisors (8139110784).

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

3793028736 is a wasteful number, since it uses less digits than its factorization.

3793028736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 48.

The square root of 3793028736 is about 61587.5696549231. The cubic root of 3793028736 is about 1559.5359040239.

It can be divided in two parts, 37930 and 28736, that added together give a palindrome (66666).

The spelling of 3793028736 in words is "three billion, seven hundred ninety-three million, twenty-eight thousand, seven hundred thirty-six".