3738716800 has 384 divisors, whose sum is σ = 11708000640. Its totient is φ = 1147944960.

The previous prime is 3738716797. The next prime is 3738716803. The reversal of 3738716800 is 86178373.

It is an interprime number because it is at equal distance from previous prime (3738716797) and next prime (3738716803).

It is not an unprimeable number, because it can be changed into a prime (3738716803) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10774227 + ... + 10774573.

It is an arithmetic number, because the mean of its divisors is an integer number (30489585).

Almost surely, 2^3738716800 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3738716800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854000320).

3738716800 is an abundant number, since it is smaller than the sum of its proper divisors (7969283840).

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

3738716800 is a wasteful number, since it uses less digits than its factorization.

3738716800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 43.

The square root of 3738716800 is about 61145.0472237940. The cubic root of 3738716800 is about 1552.0564864126.

The spelling of 3738716800 in words is "three billion, seven hundred thirty-eight million, seven hundred sixteen thousand, eight hundred".