3395220192 has 576 divisors, whose sum is σ = 12870144000. Its totient is φ = 862202880.

The previous prime is 3395220119. The next prime is 3395220197. The reversal of 3395220192 is 2910225933.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3395220197) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17061309 + ... + 17061507.

It is an arithmetic number, because the mean of its divisors is an integer number (22344000).

Almost surely, 2^3395220192 is an apocalyptic number.

3395220192 is a gapful number since it is divisible by the number (32) 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 3395220192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072000).

3395220192 is an abundant number, since it is smaller than the sum of its proper divisors (9474923808).

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

3395220192 is a wasteful number, since it uses less digits than its factorization.

3395220192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 29160, while the sum is 36.

The square root of 3395220192 is about 58268.5180178799. The cubic root of 3395220192 is about 1502.9896214836.

The spelling of 3395220192 in words is "three billion, three hundred ninety-five million, two hundred twenty thousand, one hundred ninety-two".