3748663800 has 336 divisors, whose sum is σ = 14938337040. Its totient is φ = 856604160.

The previous prime is 3748663777. The next prime is 3748663823. The reversal of 3748663800 is 83668473.

3748663800 = 4541² + 4542² + ... + 4715².

3748663800 is a `hidden beast` number, since 3 + 7 + 4 + 8 + 6 + 638 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3748663777) and next prime (3748663823).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 1018764 + ... + 1022436.

Almost surely, 2^3748663800 is an apocalyptic number.

3748663800 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 3748663800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7469168520).

3748663800 is an abundant number, since it is smaller than the sum of its proper divisors (11189673240).

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

3748663800 is a wasteful number, since it uses less digits than its factorization.

3748663800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3690 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The square root of 3748663800 is about 61226.3325702267. The cubic root of 3748663800 is about 1553.4317028745.

The spelling of 3748663800 in words is "three billion, seven hundred forty-eight million, six hundred sixty-three thousand, eight hundred".