4337434920 has 384 divisors, whose sum is σ = 16443907200. Its totient is φ = 907167744.

The previous prime is 4337434889. The next prime is 4337434979. The reversal of 4337434920 is 294347334.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13682602 + ... + 13682918.

It is an arithmetic number, because the mean of its divisors is an integer number (42822675).

Almost surely, 2^4337434920 is an apocalyptic number.

4337434920 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 4337434920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8221953600).

4337434920 is an abundant number, since it is smaller than the sum of its proper divisors (12106472280).

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

4337434920 is a wasteful number, since it uses less digits than its factorization.

4337434920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

The square root of 4337434920 is about 65859.2052791407. The cubic root of 4337434920 is about 1630.8386315204.

The spelling of 4337434920 in words is "four billion, three hundred thirty-seven million, four hundred thirty-four thousand, nine hundred twenty".