3395005920 has 384 divisors, whose sum is σ = 12436623360. Its totient is φ = 864000000.

The previous prime is 3395005909. The next prime is 3395005931. The reversal of 3395005920 is 295005933.

It is an interprime number because it is at equal distance from previous prime (3395005909) and next prime (3395005931).

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

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 13525795 + ... + 13526045.

It is an arithmetic number, because the mean of its divisors is an integer number (32387040).

Almost surely, 2^3395005920 is an apocalyptic number.

3395005920 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 3395005920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6218311680).

3395005920 is an abundant number, since it is smaller than the sum of its proper divisors (9041617440).

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

3395005920 is a wasteful number, since it uses less digits than its factorization.

3395005920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 407 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 36450, while the sum is 36.

The square root of 3395005920 is about 58266.6793287553. The cubic root of 3395005920 is about 1502.9580029779.

The spelling of 3395005920 in words is "three billion, three hundred ninety-five million, five thousand, nine hundred twenty".