3778150049856 has 2688 divisors, whose sum is σ = 15656868864000. Its totient is φ = 875012751360.

The previous prime is 3778150049851. The next prime is 3778150049923. The reversal of 3778150049856 is 6589400518773.

3778150049856 is a `hidden beast` number, since 3 + 7 + 7 + 8 + 1 + 500 + 49 + 85 + 6 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3778150049793 and 3778150049802.

It is not an unprimeable number, because it can be changed into a prime (3778150049851) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 25356711670 + ... + 25356711818.

It is an arithmetic number, because the mean of its divisors is an integer number (5824728000).

Almost surely, 2^{3778150049856} is an apocalyptic number.

3778150049856 is a gapful number since it is divisible by the number (36) 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 3778150049856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7828434432000).

3778150049856 is an abundant number, since it is smaller than the sum of its proper divisors (11878718814144).

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

3778150049856 is a wasteful number, since it uses less digits than its factorization.

3778150049856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 63.

The spelling of 3778150049856 in words is "three trillion, seven hundred seventy-eight billion, one hundred fifty million, forty-nine thousand, eight hundred fifty-six".