4946034600 has 144 divisors (see below), whose sum is σ = 17888243100. Its totient is φ = 1217479680.

The previous prime is 4946034581. The next prime is 4946034601. The reversal of 4946034600 is 64306494.

4946034600 is a `hidden beast` number, since 4 + 9 + 4 + 603 + 46 + 0 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 829785636 + 4116248964 = 28806^2 + 64158^2 .

It is a super-3 number, since 3×4946034600³ (a number of 30 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (4946034601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 82285 + ... + 129084.

Almost surely, 2^4946034600 is an apocalyptic number.

4946034600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4946034600 is an abundant number, since it is smaller than the sum of its proper divisors (12942208500).

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

4946034600 is a wasteful number, since it uses less digits than its factorization.

4946034600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211404 (or 211392 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 4946034600 is about 70328.0498805420. The cubic root of 4946034600 is about 1703.8017110403.

The spelling of 4946034600 in words is "four billion, nine hundred forty-six million, thirty-four thousand, six hundred".