3782362752 has 192 divisors, whose sum is σ = 12506832000. Its totient is φ = 1074788352.

The previous prime is 3782362739. The next prime is 3782362769. The reversal of 3782362752 is 2572632873.

3782362752 is a `hidden beast` number, since 378 + 2 + 3 + 6 + 275 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3782362698 and 3782362707.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1603558 + ... + 1605914.

It is an arithmetic number, because the mean of its divisors is an integer number (65139750).

Almost surely, 2^3782362752 is an apocalyptic number.

3782362752 is a gapful number since it is divisible by the number (32) 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 3782362752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6253416000).

3782362752 is an abundant number, since it is smaller than the sum of its proper divisors (8724469248).

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

3782362752 is a wasteful number, since it uses less digits than its factorization.

3782362752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2583 (or 2568 counting only the distinct ones).

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

The square root of 3782362752 is about 61500.9166760952. The cubic root of 3782362752 is about 1558.0727284518.

The spelling of 3782362752 in words is "three billion, seven hundred eighty-two million, three hundred sixty-two thousand, seven hundred fifty-two".