3444890880 has 288 divisors, whose sum is σ = 11777560704. Its totient is φ = 855113728.

The previous prime is 3444890857. The next prime is 3444890909. The reversal of 3444890880 is 880984443.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7376407 + ... + 7376873.

It is an arithmetic number, because the mean of its divisors is an integer number (40894308).

Almost surely, 2^3444890880 is an apocalyptic number.

3444890880 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 3444890880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5888780352).

3444890880 is an abundant number, since it is smaller than the sum of its proper divisors (8332669824).

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

3444890880 is a wasteful number, since it uses less digits than its factorization.

3444890880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 621 (or 607 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The square root of 3444890880 is about 58693.1927909873. The cubic root of 3444890880 is about 1510.2835425028.

The spelling of 3444890880 in words is "three billion, four hundred forty-four million, eight hundred ninety thousand, eight hundred eighty".