3038948352 has 264 divisors, whose sum is σ = 9891628032. Its totient is φ = 890265600.

The previous prime is 3038948327. The next prime is 3038948399. The reversal of 3038948352 is 2538498303.

It is a tau number, because it is divible by the number of its divisors (264).

It is a super-2 number, since 2×3038948352² = 18470414172247031808, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3038948298 and 3038948307.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3142173 + ... + 3143139.

It is an arithmetic number, because the mean of its divisors is an integer number (37468288).

Almost surely, 2^3038948352 is an apocalyptic number.

3038948352 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 3038948352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4945814016).

3038948352 is an abundant number, since it is smaller than the sum of its proper divisors (6852679680).

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

3038948352 is a wasteful number, since it uses less digits than its factorization.

3038948352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1035 (or 1014 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The square root of 3038948352 is about 55126.6573628403. The cubic root of 3038948352 is about 1448.4642244445.

The spelling of 3038948352 in words is "three billion, thirty-eight million, nine hundred forty-eight thousand, three hundred fifty-two".