3791434752 has 132 divisors (see below), whose sum is σ = 12511853536. Its totient is φ = 1083248640.

The previous prime is 3791434739. The next prime is 3791434753. The reversal of 3791434752 is 2574341973.

3791434752 is a `hidden beast` number, since 37 + 9 + 143 + 475 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 3791434698 and 3791434707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3791434753) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35127 + ... + 93897.

Almost surely, 2^3791434752 is an apocalyptic number.

3791434752 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 3791434752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6255926768).

3791434752 is an abundant number, since it is smaller than the sum of its proper divisors (8720418784).

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

3791434752 is a wasteful number, since it uses less digits than its factorization.

3791434752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58804 (or 58783 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The square root of 3791434752 is about 61574.6275019184. The cubic root of 3791434752 is about 1559.3174134056.

The spelling of 3791434752 in words is "three billion, seven hundred ninety-one million, four hundred thirty-four thousand, seven hundred fifty-two".