3782213136 has 320 divisors, whose sum is σ = 12126723840. Its totient is φ = 1121402880.

The previous prime is 3782213117. The next prime is 3782213137. The reversal of 3782213136 is 6313122873.

3782213136 is a `hidden beast` number, since 378 + 221 + 31 + 36 = 666.

It is a super-2 number, since 2×3782213136² = 28610272412261908992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 3782213136.

It is not an unprimeable number, because it can be changed into a prime (3782213137) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28871791 + ... + 28871921.

It is an arithmetic number, because the mean of its divisors is an integer number (37896012).

Almost surely, 2^3782213136 is an apocalyptic number.

3782213136 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 3782213136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6063361920).

3782213136 is an abundant number, since it is smaller than the sum of its proper divisors (8344510704).

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

3782213136 is a wasteful number, since it uses less digits than its factorization.

3782213136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 299 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 3782213136 is about 61499.7002919526. The cubic root of 3782213136 is about 1558.0521843547.

The spelling of 3782213136 in words is "three billion, seven hundred eighty-two million, two hundred thirteen thousand, one hundred thirty-six".