3440862720 has 320 divisors, whose sum is σ = 12421347840. Its totient is φ = 902651904.

The previous prime is 3440862707. The next prime is 3440862739. The reversal of 3440862720 is 272680443.

3440862720 is a `hidden beast` number, since 3 + 4 + 4 + 0 + 8 + 627 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (320).

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 31 ways as a sum of consecutive naturals, for example, 4630669 + ... + 4631411.

It is an arithmetic number, because the mean of its divisors is an integer number (38816712).

Almost surely, 2^3440862720 is an apocalyptic number.

3440862720 is a gapful number since it is divisible by the number (30) 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 3440862720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6210673920).

3440862720 is an abundant number, since it is smaller than the sum of its proper divisors (8980485120).

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

3440862720 is an equidigital number, since it uses as much as digits as its factorization.

3440862720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The square root of 3440862720 is about 58658.8673603574. The cubic root of 3440862720 is about 1509.6946475521.

The spelling of 3440862720 in words is "three billion, four hundred forty million, eight hundred sixty-two thousand, seven hundred twenty".