3781806336 has 216 divisors, whose sum is σ = 13595085504. Its totient is φ = 982241280.

The previous prime is 3781806331. The next prime is 3781806337. The reversal of 3781806336 is 6336081873.

3781806336 is a `hidden beast` number, since 3 + 7 + 8 + 1 + 8 + 0 + 633 + 6 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 3781806291 and 3781806300.

It is not an unprimeable number, because it can be changed into a prime (3781806331) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166750 + ... + 188066.

Almost surely, 2^3781806336 is an apocalyptic number.

3781806336 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 3781806336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6797542752).

3781806336 is an abundant number, since it is smaller than the sum of its proper divisors (9813279168).

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

3781806336 is a wasteful number, since it uses less digits than its factorization.

3781806336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21357 (or 21340 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3781806336 is about 61496.3928698261. The cubic root of 3781806336 is about 1557.9963230260.

The spelling of 3781806336 in words is "three billion, seven hundred eighty-one million, eight hundred six thousand, three hundred thirty-six".