3470068800 has 504 divisors, whose sum is σ = 14175089760. Its totient is φ = 796262400.

The previous prime is 3470068751. The next prime is 3470068801. The reversal of 3470068800 is 88600743.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (3470068801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3009024 + ... + 3010176.

Almost surely, 2^3470068800 is an apocalyptic number.

3470068800 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 3470068800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7087544880).

3470068800 is an abundant number, since it is smaller than the sum of its proper divisors (10705020960).

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

3470068800 is a wasteful number, since it uses less digits than its factorization.

3470068800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1211 (or 1193 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 3470068800 is about 58907.2898714582. The cubic root of 3470068800 is about 1513.9540537272.

The spelling of 3470068800 in words is "three billion, four hundred seventy million, sixty-eight thousand, eight hundred".