3444606000 has 400 divisors, whose sum is σ = 13580300448. Its totient is φ = 834624000.

The previous prime is 3444605917. The next prime is 3444606019. The reversal of 3444606000 is 6064443.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1781034 + ... + 1782966.

Almost surely, 2^3444606000 is an apocalyptic number.

3444606000 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 3444606000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6790150224).

3444606000 is an abundant number, since it is smaller than the sum of its proper divisors (10135694448).

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

3444606000 is a wasteful number, since it uses less digits than its factorization.

3444606000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3444606000 is about 58690.7658835698. The cubic root of 3444606000 is about 1510.2419096953.

The spelling of 3444606000 in words is "three billion, four hundred forty-four million, six hundred six thousand".