3442401000 has 384 divisors, whose sum is σ = 12571977600. Its totient is φ = 846720000.

The previous prime is 3442400989. The next prime is 3442401031. The reversal of 3442401000 is 1042443.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7010755 + ... + 7011245.

It is an arithmetic number, because the mean of its divisors is an integer number (32739525).

Almost surely, 2^3442401000 is an apocalyptic number.

3442401000 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 3442401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6285988800).

3442401000 is an abundant number, since it is smaller than the sum of its proper divisors (9129576600).

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

3442401000 is a wasteful number, since it uses less digits than its factorization.

3442401000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 3442401000 is about 58671.9779792705. The cubic root of 3442401000 is about 1509.9195898879.

Adding to 3442401000 its reverse (1042443), we get a palindrome (3443443443).

The spelling of 3442401000 in words is "three billion, four hundred forty-two million, four hundred one thousand".