4835376000 has 1280 divisors, whose sum is σ = 22642139520. Its totient is φ = 995328000.

The previous prime is 4835375917. The next prime is 4835376019. The reversal of 4835376000 is 6735384.

It is a happy number.

4835376000 is a `hidden beast` number, since 48 + 3 + 5 + 3 + 7 + 600 + 0 = 666.

It is a super-2 number, since 2×4835376000² = 46761722122752000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 117935980 + ... + 117936020.

Almost surely, 2^4835376000 is an apocalyptic number.

4835376000 is a gapful number since it is divisible by the number (40) 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 4835376000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11321069760).

4835376000 is an abundant number, since it is smaller than the sum of its proper divisors (17806763520).

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

4835376000 is a wasteful number, since it uses less digits than its factorization.

4835376000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 71 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 4835376000 is about 69536.8679191118. The cubic root of 4835376000 is about 1690.9992573241. Note that the first 3 decimals are identical.

The spelling of 4835376000 in words is "four billion, eight hundred thirty-five million, three hundred seventy-six thousand".