4374820800 has 1344 divisors, whose sum is σ = 20681533440. Its totient is φ = 875888640.

The previous prime is 4374820799. The next prime is 4374820831. The reversal of 4374820800 is 80284734.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×4374820800² = 38278114064225280000, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 118238382 + ... + 118238418.

Almost surely, 2^4374820800 is an apocalyptic number.

4374820800 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 4374820800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10340766720).

4374820800 is an abundant number, since it is smaller than the sum of its proper divisors (16306712640).

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

4374820800 is a wasteful number, since it uses less digits than its factorization.

4374820800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 36.

The square root of 4374820800 is about 66142.4281380719. The cubic root of 4374820800 is about 1635.5108243101.

The spelling of 4374820800 in words is "four billion, three hundred seventy-four million, eight hundred twenty thousand, eight hundred".