3412146414600 has 1152 divisors, whose sum is σ = 15388879334400. Its totient is φ = 656058009600.

The previous prime is 3412146414583. The next prime is 3412146414613. The reversal of 3412146414600 is 64146412143.

3412146414600 is a `hidden beast` number, since 3 + 4 + 1 + 2 + 1 + 4 + 6 + 41 + 4 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 113221134 + ... + 113251266.

It is an arithmetic number, because the mean of its divisors is an integer number (13358402200).

Almost surely, 2^{3412146414600} is an apocalyptic number.

3412146414600 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 3412146414600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7694439667200).

3412146414600 is an abundant number, since it is smaller than the sum of its proper divisors (11976732919800).

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

3412146414600 is a wasteful number, since it uses less digits than its factorization.

3412146414600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30235 (or 30223 counting only the distinct ones).

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

The spelling of 3412146414600 in words is "three trillion, four hundred twelve billion, one hundred forty-six million, four hundred fourteen thousand, six hundred".