3676568400 has 720 divisors, whose sum is σ = 14762805120. Its totient is φ = 866764800.

The previous prime is 3676568387. The next prime is 3676568407. The reversal of 3676568400 is 48656763.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676568407) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 89672380 + ... + 89672420.

It is an arithmetic number, because the mean of its divisors is an integer number (20503896).

Almost surely, 2^3676568400 is an apocalyptic number.

3676568400 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 3676568400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7381402560).

3676568400 is an abundant number, since it is smaller than the sum of its proper divisors (11086236720).

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

3676568400 is a wasteful number, since it uses less digits than its factorization.

3676568400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The square root of 3676568400 is about 60634.7128301932. The cubic root of 3676568400 is about 1543.4084846118.

The spelling of 3676568400 in words is "three billion, six hundred seventy-six million, five hundred sixty-eight thousand, four hundred".