3781616155200 has 504 divisors, whose sum is σ = 15010779679168. Its totient is φ = 930858117120.

The previous prime is 3781616155153. The next prime is 3781616155201. The reversal of 3781616155200 is 25516161873.

3781616155200 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 6 + 1 + 615 + 5 + 20 + 0 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (3781616155201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4680309 + ... + 5428491.

Almost surely, 2^{3781616155200} is an apocalyptic number.

3781616155200 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 3781616155200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7505389839584).

3781616155200 is an abundant number, since it is smaller than the sum of its proper divisors (11229163523968).

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

3781616155200 is a wasteful number, since it uses less digits than its factorization.

3781616155200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748233 (or 748206 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 3781616155200 in words is "three trillion, seven hundred eighty-one billion, six hundred sixteen million, one hundred fifty-five thousand, two hundred".