4038146352 has 80 divisors (see below), whose sum is σ = 11662289280. Its totient is φ = 1337767488.

The previous prime is 4038146327. The next prime is 4038146353. The reversal of 4038146352 is 2536418304.

4038146352 is a `hidden beast` number, since 4 + 0 + 3 + 8 + 14 + 635 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (4038146353) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41743 + ... + 99089.

It is an arithmetic number, because the mean of its divisors is an integer number (145778616).

Almost surely, 2^4038146352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4038146352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5831144640).

4038146352 is an abundant number, since it is smaller than the sum of its proper divisors (7624142928).

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

4038146352 is a wasteful number, since it uses less digits than its factorization.

4038146352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57527 (or 57515 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The square root of 4038146352 is about 63546.4110080184. The cubic root of 4038146352 is about 1592.4312254053.

The spelling of 4038146352 in words is "four billion, thirty-eight million, one hundred forty-six thousand, three hundred fifty-two".