3778995820320 has 576 divisors, whose sum is σ = 15411540090240. Its totient is φ = 862331774976.

The previous prime is 3778995820319. The next prime is 3778995820361. The reversal of 3778995820320 is 230285998773.

3778995820320 is a `hidden beast` number, since 3 + 77 + 89 + 95 + 82 + 0 + 320 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129745279 + ... + 129774401.

It is an arithmetic number, because the mean of its divisors is an integer number (26756145990).

Almost surely, 2^{3778995820320} is an apocalyptic number.

3778995820320 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 3778995820320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7705770045120).

3778995820320 is an abundant number, since it is smaller than the sum of its proper divisors (11632544269920).

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

3778995820320 is a wasteful number, since it uses less digits than its factorization.

3778995820320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29774 (or 29753 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 3778995820320 in words is "three trillion, seven hundred seventy-eight billion, nine hundred ninety-five million, eight hundred twenty thousand, three hundred twenty".