3405628800 has 480 divisors, whose sum is σ = 14370531120. Its totient is φ = 778014720.

The previous prime is 3405628769. The next prime is 3405628801. The reversal of 3405628800 is 88265043.

3405628800 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 (480).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405628801) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1813462 + ... + 1815338.

Almost surely, 2^3405628800 is an apocalyptic number.

3405628800 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 3405628800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7185265560).

3405628800 is an abundant number, since it is smaller than the sum of its proper divisors (10964902320).

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

3405628800 is a wasteful number, since it uses less digits than its factorization.

3405628800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1920 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 3405628800 is about 58357.7655500962. The cubic root of 3405628800 is about 1504.5239422477.

The spelling of 3405628800 in words is "three billion, four hundred five million, six hundred twenty-eight thousand, eight hundred".