3440810016 has 336 divisors, whose sum is σ = 12229358400. Its totient is φ = 930507264.

The previous prime is 3440809993. The next prime is 3440810017. The reversal of 3440810016 is 6100180443.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (3440810017) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3102070 + ... + 3103178.

It is an arithmetic number, because the mean of its divisors is an integer number (36396900).

Almost surely, 2^3440810016 is an apocalyptic number.

3440810016 is a gapful number since it is divisible by the number (36) 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 3440810016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6114679200).

3440810016 is an abundant number, since it is smaller than the sum of its proper divisors (8788548384).

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

3440810016 is a wasteful number, since it uses less digits than its factorization.

3440810016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1163 (or 1140 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 3440810016 is about 58658.4181170955. The cubic root of 3440810016 is about 1509.6869394704.

Adding to 3440810016 its reverse (6100180443), we get a palindrome (9540990459).

The spelling of 3440810016 in words is "three billion, four hundred forty million, eight hundred ten thousand, sixteen".