3600794400 has 432 divisors, whose sum is σ = 13867924896. Its totient is φ = 808980480.

The previous prime is 3600794383. The next prime is 3600794413. The reversal of 3600794400 is 44970063.

3600794400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3600794400² = 25931440622142720000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7878972 + ... + 7879428.

It is an arithmetic number, because the mean of its divisors is an integer number (32101678).

Almost surely, 2^3600794400 is an apocalyptic number.

3600794400 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 3600794400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933962448).

3600794400 is an abundant number, since it is smaller than the sum of its proper divisors (10267130496).

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

3600794400 is a wasteful number, since it uses less digits than its factorization.

3600794400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 561 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 3600794400 is about 60006.6196348370. The cubic root of 3600794400 is about 1532.7315891281.

The spelling of 3600794400 in words is "three billion, six hundred million, seven hundred ninety-four thousand, four hundred".