3784665456 has 480 divisors, whose sum is σ = 13298148864. Its totient is φ = 988416000.

The previous prime is 3784665449. The next prime is 3784665481. The reversal of 3784665456 is 6545664873.

3784665456 is a `hidden beast` number, since 37 + 8 + 4 + 66 + 545 + 6 = 666.

It is a super-2 number, since 2×3784665456² = 28647385227679375872, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 28890511 + ... + 28890641.

Almost surely, 2^3784665456 is an apocalyptic number.

3784665456 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 3784665456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6649074432).

3784665456 is an abundant number, since it is smaller than the sum of its proper divisors (9513483408).

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

3784665456 is a wasteful number, since it uses less digits than its factorization.

3784665456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 253 (or 244 counting only the distinct ones).

The product of its digits is 14515200, while the sum is 54.

The square root of 3784665456 is about 61519.6347193317. The cubic root of 3784665456 is about 1558.3888494150.

The spelling of 3784665456 in words is "three billion, seven hundred eighty-four million, six hundred sixty-five thousand, four hundred fifty-six".