3444088320 has 240 divisors, whose sum is σ = 12078258192. Its totient is φ = 906854400.

The previous prime is 3444088309. The next prime is 3444088321. The reversal of 3444088320 is 238804443.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3444088321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1911420 + ... + 1913220.

Almost surely, 2^3444088320 is an apocalyptic number.

3444088320 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 3444088320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6039129096).

3444088320 is an abundant number, since it is smaller than the sum of its proper divisors (8634169872).

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

3444088320 is a wasteful number, since it uses less digits than its factorization.

3444088320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1913 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 36.

The square root of 3444088320 is about 58686.3554840476. The cubic root of 3444088320 is about 1510.1662492568.

It can be divided in two parts, 34440 and 88320, that added together give a triangular number (122760 = T₄₉₅).

The spelling of 3444088320 in words is "three billion, four hundred forty-four million, eighty-eight thousand, three hundred twenty".