3778086312000 has 5376 divisors, whose sum is σ = 19938543206400. Its totient is φ = 656916480000.

The previous prime is 3778086311971. The next prime is 3778086312001. The reversal of 3778086312000 is 2136808773.

3778086312000 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 0 + 8 + 631 + 2 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×3778086312000² (a number of 26 digits) contains 22 as substring.

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 (3778086312001) by changing a digit.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 42450407956 + ... + 42450408044.

It is an arithmetic number, because the mean of its divisors is an integer number (3708806400).

Almost surely, 2^{3778086312000} is an apocalyptic number.

3778086312000 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 3778086312000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9969271603200).

3778086312000 is an abundant number, since it is smaller than the sum of its proper divisors (16160456894400).

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

3778086312000 is a wasteful number, since it uses less digits than its factorization.

3778086312000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 3778086312000 in words is "three trillion, seven hundred seventy-eight billion, eighty-six million, three hundred twelve thousand".