3444226500 has 192 divisors, whose sum is σ = 11783745792. Its totient is φ = 770688000.

The previous prime is 3444226493. The next prime is 3444226507. The reversal of 3444226500 is 56224443.

3444226500 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3444226493) and next prime (3444226507).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (3444226507) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 206472 + ... + 222528.

It is an arithmetic number, because the mean of its divisors is an integer number (61373676).

Almost surely, 2^3444226500 is an apocalyptic number.

3444226500 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 3444226500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5891872896).

3444226500 is an abundant number, since it is smaller than the sum of its proper divisors (8339519292).

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

3444226500 is a wasteful number, since it uses less digits than its factorization.

3444226500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16103 (or 16091 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 30.

The square root of 3444226500 is about 58687.5327475947. The cubic root of 3444226500 is about 1510.1864454077.

The spelling of 3444226500 in words is "three billion, four hundred forty-four million, two hundred twenty-six thousand, five hundred".