4775348000 has 48 divisors (see below), whose sum is σ = 11733039864. Its totient is φ = 1910137600.

The previous prime is 4775347981. The next prime is 4775348009. The reversal of 4775348000 is 8435774.

It can be written as a sum of positive squares in 4 ways, for example, as 2251692304 + 2523655696 = 47452^2 + 50236^2 .

It is a super-2 number, since 2×4775348000² = 45607897042208000000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4775348009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 592919 + ... + 600918.

Almost surely, 2^4775348000 is an apocalyptic number.

4775348000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4775348000 is an abundant number, since it is smaller than the sum of its proper divisors (6957691864).

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

4775348000 is a wasteful number, since it uses less digits than its factorization.

4775348000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193862 (or 1193844 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The square root of 4775348000 is about 69103.8927991759. The cubic root of 4775348000 is about 1683.9725529310.

The spelling of 4775348000 in words is "four billion, seven hundred seventy-five million, three hundred forty-eight thousand".