3411476406000 has 1280 divisors, whose sum is σ = 13820715417600. Its totient is φ = 798584832000.

The previous prime is 3411476405989. The next prime is 3411476406061. The reversal of 3411476406000 is 6046741143.

3411476406000 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 4 + 7 + 6 + 40 + 600 + 0 = 666.

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 255 ways as a sum of consecutive naturals, for example, 1283956672 + ... + 1283959328.

It is an arithmetic number, because the mean of its divisors is an integer number (10797433920).

Almost surely, 2^{3411476406000} is an apocalyptic number.

3411476406000 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 3411476406000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6910357708800).

3411476406000 is an abundant number, since it is smaller than the sum of its proper divisors (10409239011600).

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

3411476406000 is a wasteful number, since it uses less digits than its factorization.

3411476406000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2792 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 3411476406000 in words is "three trillion, four hundred eleven billion, four hundred seventy-six million, four hundred six thousand".