4348887840 has 576 divisors, whose sum is σ = 17458519680. Its totient is φ = 1002608640.

The previous prime is 4348887773. The next prime is 4348887841. The reversal of 4348887840 is 487888434.

It is a happy number.

4348887840 is a `hidden beast` number, since 4 + 3 + 488 + 87 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4348887841) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25137994 + ... + 25138166.

It is an arithmetic number, because the mean of its divisors is an integer number (30309930).

Almost surely, 2^4348887840 is an apocalyptic number.

4348887840 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 4348887840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8729259840).

4348887840 is an abundant number, since it is smaller than the sum of its proper divisors (13109631840).

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

4348887840 is a wasteful number, since it uses less digits than its factorization.

4348887840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 5505024, while the sum is 54.

The square root of 4348887840 is about 65946.0979891911. The cubic root of 4348887840 is about 1632.2727701510.

It can be divided in two parts, 43488 and 87840, that added together give a triangular number (131328 = T₅₁₂).

The spelling of 4348887840 in words is "four billion, three hundred forty-eight million, eight hundred eighty-seven thousand, eight hundred forty".