3738700800 has 396 divisors, whose sum is σ = 13905205496. Its totient is φ = 995328000.

The previous prime is 3738700789. The next prime is 3738700811. The reversal of 3738700800 is 80078373.

It is an interprime number because it is at equal distance from previous prime (3738700789) and next prime (3738700811).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 12.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6220500 + ... + 6221100.

Almost surely, 2^3738700800 is an apocalyptic number.

3738700800 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 3738700800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6952602748).

3738700800 is an abundant number, since it is smaller than the sum of its proper divisors (10166504696).

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

3738700800 is an equidigital number, since it uses as much as digits as its factorization.

3738700800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646 (or 611 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 3738700800 is about 61144.9163872190. The cubic root of 3738700800 is about 1552.0542723785.

The spelling of 3738700800 in words is "three billion, seven hundred thirty-eight million, seven hundred thousand, eight hundred".