4038942348 has 288 divisors, whose sum is σ = 12883014144. Its totient is φ = 1040615424.

The previous prime is 4038942337. The next prime is 4038942359. The reversal of 4038942348 is 8432498304.

4038942348 is a `hidden beast` number, since 403 + 8 + 9 + 4 + 234 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (4038942337) and next prime (4038942359).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13156011 + ... + 13156317.

It is an arithmetic number, because the mean of its divisors is an integer number (44732688).

Almost surely, 2^4038942348 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 4038942348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6441507072).

4038942348 is an abundant number, since it is smaller than the sum of its proper divisors (8844071796).

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

4038942348 is a wasteful number, since it uses less digits than its factorization.

4038942348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 456 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The square root of 4038942348 is about 63552.6738068510. The cubic root of 4038942348 is about 1592.5358514306.

The spelling of 4038942348 in words is "four billion, thirty-eight million, nine hundred forty-two thousand, three hundred forty-eight".