3781214680320 has 3456 divisors, whose sum is σ = 18467215183872. Its totient is φ = 716636160000.

The previous prime is 3781214680307. The next prime is 3781214680343. The reversal of 3781214680320 is 230864121873.

3781214680320 is a `hidden beast` number, since 37 + 8 + 1 + 214 + 6 + 80 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 15064600195 + ... + 15064600445.

It is an arithmetic number, because the mean of its divisors is an integer number (5343522912).

Almost surely, 2^{3781214680320} is an apocalyptic number.

3781214680320 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 3781214680320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233607591936).

3781214680320 is an abundant number, since it is smaller than the sum of its proper divisors (14686000503552).

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

3781214680320 is a wasteful number, since it uses less digits than its factorization.

3781214680320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 3781214680320 in words is "three trillion, seven hundred eighty-one billion, two hundred fourteen million, six hundred eighty thousand, three hundred twenty".