3408083078400 has 6912 divisors, whose sum is σ = 19007983411200. Its totient is φ = 573308928000.

The previous prime is 3408083078363. The next prime is 3408083078471. The reversal of 3408083078400 is 48703808043.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (6912).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 55870214370 + ... + 55870214430.

It is an arithmetic number, because the mean of its divisors is an integer number (2749997600).

Almost surely, 2^{3408083078400} is an apocalyptic number.

3408083078400 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 3408083078400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9503991705600).

3408083078400 is an abundant number, since it is smaller than the sum of its proper divisors (15599900332800).

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

3408083078400 is a wasteful number, since it uses less digits than its factorization.

3408083078400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 3408083078400 in words is "three trillion, four hundred eight billion, eighty-three million, seventy-eight thousand, four hundred".