3431116800 has 624 divisors, whose sum is σ = 13528910880. Its totient is φ = 849346560.

The previous prime is 3431116781. The next prime is 3431116811. The reversal of 3431116800 is 86111343.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47001564 + ... + 47001636.

Almost surely, 2^3431116800 is an apocalyptic number.

3431116800 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 3431116800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6764455440).

3431116800 is an abundant number, since it is smaller than the sum of its proper divisors (10097794080).

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

3431116800 is a wasteful number, since it uses less digits than its factorization.

3431116800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 3431116800 is about 58575.7355907717. The cubic root of 3431116800 is about 1508.2679436735.

The spelling of 3431116800 in words is "three billion, four hundred thirty-one million, one hundred sixteen thousand, eight hundred".