3402067968 has 312 divisors, whose sum is σ = 10972008320. Its totient is φ = 1008599040.

The previous prime is 3402067967. The next prime is 3402067973. The reversal of 3402067968 is 8697602043.

It is a tau number, because it is divible by the number of its divisors (312).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3402067961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14856078 + ... + 14856306.

Almost surely, 2^3402067968 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 3402067968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486004160).

3402067968 is an abundant number, since it is smaller than the sum of its proper divisors (7569940352).

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

3402067968 is a wasteful number, since it uses less digits than its factorization.

3402067968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303 (or 278 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 3402067968 is about 58327.2489322101. The cubic root of 3402067968 is about 1503.9993964084. Note that the first 3 decimals are identical.

The spelling of 3402067968 in words is "three billion, four hundred two million, sixty-seven thousand, nine hundred sixty-eight".