4152752352 has 216 divisors, whose sum is σ = 13875681456. Its totient is φ = 1174569984.

The previous prime is 4152752311. The next prime is 4152752381. The reversal of 4152752352 is 2532572514.

4152752352 is a `hidden beast` number, since 415 + 2 + 7 + 5 + 235 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1452108 + ... + 1454964.

It is an arithmetic number, because the mean of its divisors is an integer number (64239266).

Almost surely, 2^4152752352 is an apocalyptic number.

4152752352 is a gapful number since it is divisible by the number (42) 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 4152752352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6937840728).

4152752352 is an abundant number, since it is smaller than the sum of its proper divisors (9722929104).

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

4152752352 is a wasteful number, since it uses less digits than its factorization.

4152752352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2972 counting only the distinct ones).

The product of its digits is 84000, while the sum is 36.

The square root of 4152752352 is about 64441.8524873393. The cubic root of 4152752352 is about 1607.3557603375.

The spelling of 4152752352 in words is "four billion, one hundred fifty-two million, seven hundred fifty-two thousand, three hundred fifty-two".