3411328536000 has 2688 divisors, whose sum is σ = 16406572695552. Its totient is φ = 655395840000.

The previous prime is 3411328535947. The next prime is 3411328536001. The reversal of 3411328536000 is 6358231143.

3411328536000 is a `hidden beast` number, since 3 + 4 + 1 + 13 + 285 + 360 + 0 + 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 not an unprimeable number, because it can be changed into a prime (3411328536001) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3952871569 + ... + 3952872431.

Almost surely, 2^{3411328536000} is an apocalyptic number.

3411328536000 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 3411328536000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8203286347776).

3411328536000 is an abundant number, since it is smaller than the sum of its proper divisors (12995244159552).

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

3411328536000 is a wasteful number, since it uses less digits than its factorization.

3411328536000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 968 (or 945 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 3411328536000 in words is "three trillion, four hundred eleven billion, three hundred twenty-eight million, five hundred thirty-six thousand".