3837367116 has 192 divisors, whose sum is σ = 11592806400. Its totient is φ = 1086220800.

The previous prime is 3837367099. The next prime is 3837367151. The reversal of 3837367116 is 6117637383.

It is a happy number.

3837367116 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1066216 + ... + 1069808.

It is an arithmetic number, because the mean of its divisors is an integer number (60379200).

Almost surely, 2^3837367116 is an apocalyptic number.

3837367116 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 3837367116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796403200).

3837367116 is an abundant number, since it is smaller than the sum of its proper divisors (7755439284).

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

3837367116 is a wasteful number, since it uses less digits than its factorization.

3837367116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3677 (or 3669 counting only the distinct ones).

The product of its digits is 381024, while the sum is 45.

The square root of 3837367116 is about 61946.4859051746. The cubic root of 3837367116 is about 1565.5890790712.

The spelling of 3837367116 in words is "three billion, eight hundred thirty-seven million, three hundred sixty-seven thousand, one hundred sixteen".