3467428800 has 336 divisors, whose sum is σ = 13143658752. Its totient is φ = 790937600.

The previous prime is 3467428787. The next prime is 3467428801. The reversal of 3467428800 is 88247643.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3467428801) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 895669 + ... + 899531.

It is an arithmetic number, because the mean of its divisors is an integer number (39118032).

Almost surely, 2^3467428800 is an apocalyptic number.

3467428800 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 3467428800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6571829376).

3467428800 is an abundant number, since it is smaller than the sum of its proper divisors (9676229952).

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

3467428800 is a wasteful number, since it uses less digits than its factorization.

3467428800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3916 (or 3901 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 42.

The square root of 3467428800 is about 58884.8775153689. The cubic root of 3467428800 is about 1513.5700216951.

The spelling of 3467428800 in words is "three billion, four hundred sixty-seven million, four hundred twenty-eight thousand, eight hundred".