3483406080000 has 4320 divisors, whose sum is σ = 17456771732400. Its totient is φ = 681246720000.

The previous prime is 3483406079981. The next prime is 3483406080031. The reversal of 3483406080000 is 806043843.

3483406080000 is a `hidden beast` number, since 3 + 4 + 8 + 3 + 40 + 608 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 204906239992 + ... + 204906240008.

Almost surely, 2^{3483406080000} is an apocalyptic number.

3483406080000 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 3483406080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8728385866200).

3483406080000 is an abundant number, since it is smaller than the sum of its proper divisors (13973365652400).

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

3483406080000 is a wasteful number, since it uses less digits than its factorization.

3483406080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 3483406080000 in words is "three trillion, four hundred eighty-three billion, four hundred six million, eighty thousand".