3444723760 has 80 divisors (see below), whose sum is σ = 8164406016. Its totient is φ = 1351413504.

The previous prime is 3444723739. The next prime is 3444723761. The reversal of 3444723760 is 673274443.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×3444723760² = 23732243565417075200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3444723761) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 879727 + ... + 883633.

Almost surely, 2^3444723760 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3444723760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4082203008).

3444723760 is an abundant number, since it is smaller than the sum of its proper divisors (4719682256).

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

3444723760 is a wasteful number, since it uses less digits than its factorization.

3444723760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4124 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 40.

The square root of 3444723760 is about 58691.7690992528. The cubic root of 3444723760 is about 1510.2591196037.

The spelling of 3444723760 in words is "three billion, four hundred forty-four million, seven hundred twenty-three thousand, seven hundred sixty".