3354195984 has 160 divisors (see below), whose sum is σ = 9325117440. Its totient is φ = 1036417536.

The previous prime is 3354195967. The next prime is 3354195991. The reversal of 3354195984 is 4895914533.

3354195984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3354195984² = 22501261398163456512, which contains 22 as substring.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6589522 + ... + 6590030.

It is an arithmetic number, because the mean of its divisors is an integer number (58281984).

Almost surely, 2^3354195984 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 3354195984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4662558720).

3354195984 is an abundant number, since it is smaller than the sum of its proper divisors (5970921456).

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

3354195984 is a wasteful number, since it uses less digits than its factorization.

3354195984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 717 (or 711 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The square root of 3354195984 is about 57915.4209515911. The cubic root of 3354195984 is about 1496.9115689824.

The spelling of 3354195984 in words is "three billion, three hundred fifty-four million, one hundred ninety-five thousand, nine hundred eighty-four".