3693420800 has 54 divisors (see below), whose sum is σ = 9141809418. Its totient is φ = 1477365760.

The previous prime is 3693420793. The next prime is 3693420803. The reversal of 3693420800 is 80243963.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 586027264 + 3107393536 = 24208^2 + 55744^2 .

It is a super-3 number, since 3×3693420800³ (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3693420803) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 282149 + ... + 294948.

It is an arithmetic number, because the mean of its divisors is an integer number (169292767).

Almost surely, 2^3693420800 is an apocalyptic number.

It is an amenable number.

3693420800 is an abundant number, since it is smaller than the sum of its proper divisors (5448388618).

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

3693420800 is an equidigital number, since it uses as much as digits as its factorization.

3693420800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577123 (or 577104 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The square root of 3693420800 is about 60773.5205496604. The cubic root of 3693420800 is about 1545.7630803523.

The spelling of 3693420800 in words is "three billion, six hundred ninety-three million, four hundred twenty thousand, eight hundred".