3784340736 has 360 divisors, whose sum is σ = 12607588224. Its totient is φ = 1119191040.

The previous prime is 3784340731. The next prime is 3784340737. The reversal of 3784340736 is 6370434873.

It is a super-2 number, since 2×3784340736² = 28642469612298043392, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3784340691 and 3784340700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3784340731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10720336 + ... + 10720688.

Almost surely, 2^3784340736 is an apocalyptic number.

3784340736 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 3784340736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6303794112).

3784340736 is an abundant number, since it is smaller than the sum of its proper divisors (8823247488).

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

3784340736 is a wasteful number, since it uses less digits than its factorization.

3784340736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The square root of 3784340736 is about 61516.9955053073. The cubic root of 3784340736 is about 1558.3442788089.

The spelling of 3784340736 in words is "three billion, seven hundred eighty-four million, three hundred forty thousand, seven hundred thirty-six".