3782016000 has 792 divisors, whose sum is σ = 16090500816. Its totient is φ = 851558400.

The previous prime is 3782015989. The next prime is 3782016011. The reversal of 3782016000 is 6102873.

3782016000 is a `hidden beast` number, since 37 + 8 + 20 + 1 + 600 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3782015989) and next prime (3782016011).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 56447967 + ... + 56448033.

Almost surely, 2^3782016000 is an apocalyptic number.

3782016000 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 3782016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8045250408).

3782016000 is an abundant number, since it is smaller than the sum of its proper divisors (12308484816).

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

3782016000 is a wasteful number, since it uses less digits than its factorization.

3782016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3782016000 is about 61498.0975315497. The cubic root of 3782016000 is about 1558.0251143561.

Adding to 3782016000 its reverse (6102873), we get a palindrome (3788118873).

The spelling of 3782016000 in words is "three billion, seven hundred eighty-two million, sixteen thousand".