3636746400 has 288 divisors, whose sum is σ = 13967106048. Its totient is φ = 804326400.

The previous prime is 3636746389. The next prime is 3636746429. The reversal of 3636746400 is 46476363.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 517309 + ... + 524291.

It is an arithmetic number, because the mean of its divisors is an integer number (48496896).

Almost surely, 2^3636746400 is an apocalyptic number.

3636746400 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 3636746400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6983553024).

3636746400 is an abundant number, since it is smaller than the sum of its proper divisors (10330359648).

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

3636746400 is a wasteful number, since it uses less digits than its factorization.

3636746400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7044 (or 7031 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 3636746400 is about 60305.4425404540. The cubic root of 3636746400 is about 1537.8158727042.

The spelling of 3636746400 in words is "three billion, six hundred thirty-six million, seven hundred forty-six thousand, four hundred".