3728793600 has 756 divisors, whose sum is σ = 16215369144. Its totient is φ = 802160640.

The previous prime is 3728793589. The next prime is 3728793623. The reversal of 3728793600 is 63978273.

It is a happy number.

3728793600 is a `hidden beast` number, since 3 + 7 + 287 + 9 + 360 + 0 = 666.

It is a super-2 number, since 2×3728793600² = 27807803422801920000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 219340792 + ... + 219340808.

Almost surely, 2^3728793600 is an apocalyptic number.

3728793600 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 3728793600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8107684572).

3728793600 is an abundant number, since it is smaller than the sum of its proper divisors (12486575544).

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

3728793600 is a wasteful number, since it uses less digits than its factorization.

3728793600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 45.

The square root of 3728793600 is about 61063.8485521507. The cubic root of 3728793600 is about 1550.6821277899.

The spelling of 3728793600 in words is "three billion, seven hundred twenty-eight million, seven hundred ninety-three thousand, six hundred".