3351681984 has 224 divisors, whose sum is σ = 10364175360. Its totient is φ = 936271872.

The previous prime is 3351681973. The next prime is 3351682021. The reversal of 3351681984 is 4891861533.

3351681984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-2 number, since 2×3351681984² = 22467544243740352512, which contains 22 as substring.

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

It is a congruent number.

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, 20069869 + ... + 20070035.

It is an arithmetic number, because the mean of its divisors is an integer number (46268640).

Almost surely, 2^3351681984 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 3351681984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5182087680).

3351681984 is an abundant number, since it is smaller than the sum of its proper divisors (7012493376).

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

3351681984 is a wasteful number, since it uses less digits than its factorization.

3351681984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 425 counting only the distinct ones).

The product of its digits is 622080, while the sum is 48.

The square root of 3351681984 is about 57893.7128192691. The cubic root of 3351681984 is about 1496.5374926228.

The spelling of 3351681984 in words is "three billion, three hundred fifty-one million, six hundred eighty-one thousand, nine hundred eighty-four".