3411166187520 has 1872 divisors, whose sum is σ = 15692893791120. Its totient is φ = 676985831424.

The previous prime is 3411166187501. The next prime is 3411166187617. The reversal of 3411166187520 is 257816611143.

3411166187520 is a `hidden beast` number, since 3 + 4 + 1 + 1 + 1 + 6 + 618 + 7 + 5 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 273336569856 + 3137829617664 = 522816^2 + 1771392^2 .

It is a tau number, because it is divible by the number of its divisors (1872).

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 143 ways as a sum of consecutive naturals, for example, 1996000426 + ... + 1996002134.

It is an arithmetic number, because the mean of its divisors is an integer number (8382956085).

Almost surely, 2^{3411166187520} is an apocalyptic number.

3411166187520 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 3411166187520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7846446895560).

3411166187520 is an abundant number, since it is smaller than the sum of its proper divisors (12281727603600).

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

3411166187520 is a wasteful number, since it uses less digits than its factorization.

3411166187520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1788 (or 1756 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 3411166187520 in words is "three trillion, four hundred eleven billion, one hundred sixty-six million, one hundred eighty-seven thousand, five hundred twenty".