3486997800 has 1152 divisors, whose sum is σ = 15599001600. Its totient is φ = 684288000.

The previous prime is 3486997799. The next prime is 3486997847. The reversal of 3486997800 is 87996843.

3486997800 is a `hidden beast` number, since 3 + 486 + 99 + 78 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 112483785 + ... + 112483815.

It is an arithmetic number, because the mean of its divisors is an integer number (13540800).

Almost surely, 2^3486997800 is an apocalyptic number.

3486997800 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 3486997800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7799500800).

3486997800 is an abundant number, since it is smaller than the sum of its proper divisors (12112003800).

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

3486997800 is a wasteful number, since it uses less digits than its factorization.

3486997800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The square root of 3486997800 is about 59050.8069377549. The cubic root of 3486997800 is about 1516.4120416783.

The spelling of 3486997800 in words is "three billion, four hundred eighty-six million, nine hundred ninety-seven thousand, eight hundred".