3395819840 has 224 divisors, whose sum is σ = 9870155520. Its totient is φ = 1086898176.

The previous prime is 3395819809. The next prime is 3395819849. The reversal of 3395819840 is 489185933.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395819849) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3106334 + ... + 3107426.

Almost surely, 2^3395819840 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3395819840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4935077760).

3395819840 is an abundant number, since it is smaller than the sum of its proper divisors (6474335680).

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

3395819840 is a wasteful number, since it uses less digits than its factorization.

3395819840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1209 (or 1199 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 50.

The square root of 3395819840 is about 58273.6633480340. The cubic root of 3395819840 is about 1503.0780999539.

The spelling of 3395819840 in words is "three billion, three hundred ninety-five million, eight hundred nineteen thousand, eight hundred forty".