3412718400 has 504 divisors, whose sum is σ = 13879153344. Its totient is φ = 718848000.

The previous prime is 3412718377. The next prime is 3412718423. The reversal of 3412718400 is 48172143.

3412718400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3412718377) and next prime (3412718423).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5678100 + ... + 5678700.

Almost surely, 2^3412718400 is an apocalyptic number.

3412718400 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 3412718400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6939576672).

3412718400 is an abundant number, since it is smaller than the sum of its proper divisors (10466434944).

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

3412718400 is a wasteful number, since it uses less digits than its factorization.

3412718400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 659 (or 631 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 30.

The square root of 3412718400 is about 58418.4765292626. The cubic root of 3412718400 is about 1505.5672229009.

The spelling of 3412718400 in words is "three billion, four hundred twelve million, seven hundred eighteen thousand, four hundred".