3467419440 has 240 divisors, whose sum is σ = 11719535616. Its totient is φ = 847065600.

The previous prime is 3467419393. The next prime is 3467419453. The reversal of 3467419440 is 449147643.

It is a tau number, because it is divible by the number of its divisors (240).

It is a junction number, because it is equal to n+sod(n) for n = 3467419392 and 3467419401.

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 47 ways as a sum of consecutive naturals, for example, 2685195 + ... + 2686485.

Almost surely, 2^3467419440 is an apocalyptic number.

3467419440 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 3467419440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5859767808).

3467419440 is an abundant number, since it is smaller than the sum of its proper divisors (8252116176).

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

3467419440 is a wasteful number, since it uses less digits than its factorization.

3467419440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376 (or 1351 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3467419440 is about 58884.7980382034. The cubic root of 3467419440 is about 1513.5686597803.

The spelling of 3467419440 in words is "three billion, four hundred sixty-seven million, four hundred nineteen thousand, four hundred forty".