3412684800 has 702 divisors, whose sum is σ = 14603504552. Its totient is φ = 746127360.

The previous prime is 3412684789. The next prime is 3412684813. The reversal of 3412684800 is 84862143.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 148377589 + ... + 148377611.

Almost surely, 2^3412684800 is an apocalyptic number.

3412684800 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 3412684800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7301752276).

3412684800 is an abundant number, since it is smaller than the sum of its proper divisors (11190819752).

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

3412684800 is a wasteful number, since it uses less digits than its factorization.

3412684800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 3412684800 is about 58418.1889483062. The cubic root of 3412684800 is about 1505.5622818521.

The spelling of 3412684800 in words is "three billion, four hundred twelve million, six hundred eighty-four thousand, eight hundred".