3663962400 has 288 divisors, whose sum is σ = 14432826240. Its totient is φ = 788152320.

The previous prime is 3663962389. The next prime is 3663962437. The reversal of 3663962400 is 42693663.

It is a super-2 number, since 2×3663962400² = 26849240937227520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 279186 + ... + 292014.

It is an arithmetic number, because the mean of its divisors is an integer number (50113980).

Almost surely, 2^3663962400 is an apocalyptic number.

3663962400 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 3663962400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7216413120).

3663962400 is an abundant number, since it is smaller than the sum of its proper divisors (10768863840).

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

3663962400 is a wasteful number, since it uses less digits than its factorization.

3663962400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12876 (or 12863 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 39.

The square root of 3663962400 is about 60530.6732161472. The cubic root of 3663962400 is about 1541.6424821464.

The spelling of 3663962400 in words is "three billion, six hundred sixty-three million, nine hundred sixty-two thousand, four hundred".