3784763520 has 192 divisors, whose sum is σ = 13757515200. Its totient is φ = 956123136.

The previous prime is 3784763519. The next prime is 3784763527. The reversal of 3784763520 is 253674873.

3784763520 is a `hidden beast` number, since 3 + 7 + 8 + 4 + 7 + 635 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3784763527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92149 + ... + 126731.

It is an arithmetic number, because the mean of its divisors is an integer number (71653725).

Almost surely, 2^3784763520 is an apocalyptic number.

3784763520 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 3784763520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6878757600).

3784763520 is an abundant number, since it is smaller than the sum of its proper divisors (9972751680).

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

3784763520 is a wasteful number, since it uses less digits than its factorization.

3784763520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34627 (or 34612 counting only the distinct ones).

The product of its (nonzero) digits is 846720, while the sum is 45.

The square root of 3784763520 is about 61520.4317280040. The cubic root of 3784763520 is about 1558.4023090392.

The spelling of 3784763520 in words is "three billion, seven hundred eighty-four million, seven hundred sixty-three thousand, five hundred twenty".