3442897920 has 704 divisors, whose sum is σ = 14262054912. Its totient is φ = 688128000.

The previous prime is 3442897903. The next prime is 3442897933. The reversal of 3442897920 is 297982443.

It is a tau number, because it is divible by the number of its divisors (704).

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

It is a self number, because there is not a number n which added to its sum of digits gives 3442897920.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48491485 + ... + 48491555.

Almost surely, 2^3442897920 is an apocalyptic number.

3442897920 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 3442897920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7131027456).

3442897920 is an abundant number, since it is smaller than the sum of its proper divisors (10819156992).

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

3442897920 is a wasteful number, since it uses less digits than its factorization.

3442897920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

The square root of 3442897920 is about 58676.2125567082. The cubic root of 3442897920 is about 1509.9922400665.

The spelling of 3442897920 in words is "three billion, four hundred forty-two million, eight hundred ninety-seven thousand, nine hundred twenty".