3486408000 has 112 divisors (see below), whose sum is σ = 11512198464. Its totient is φ = 929702400.

The previous prime is 3486407987. The next prime is 3486408001. The reversal of 3486408000 is 8046843.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3486408001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48634 + ... + 96633.

Almost surely, 2^3486408000 is an apocalyptic number.

3486408000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3486408000 is an abundant number, since it is smaller than the sum of its proper divisors (8025790464).

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

3486408000 is a wasteful number, since it uses less digits than its factorization.

3486408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145297 (or 145277 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 3486408000 is about 59045.8127219873. The cubic root of 3486408000 is about 1516.3265402141.

The spelling of 3486408000 in words is "three billion, four hundred eighty-six million, four hundred eight thousand".