3408375055800 has 192 divisors, whose sum is σ = 12413159256960. Its totient is φ = 762713280000.

The previous prime is 3408375055741. The next prime is 3408375055879. The reversal of 3408375055800 is 85505738043.

It is a super-3 number, since 3×3408375055800³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3408375055800.

It is a congruent number.

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, 19776526 + ... + 19948125.

It is an arithmetic number, because the mean of its divisors is an integer number (64651871130).

Almost surely, 2^{3408375055800} is an apocalyptic number.

3408375055800 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3408375055800 is an abundant number, since it is smaller than the sum of its proper divisors (9004784201160).

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

3408375055800 is a wasteful number, since it uses less digits than its factorization.

3408375055800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39724694 (or 39724685 counting only the distinct ones).

The product of its (nonzero) digits is 2016000, while the sum is 48.

The spelling of 3408375055800 in words is "three trillion, four hundred eight billion, three hundred seventy-five million, fifty-five thousand, eight hundred".