3477199442112 has 252 divisors, whose sum is σ = 11118729251448. Its totient is φ = 1037968588800.

The previous prime is 3477199442027. The next prime is 3477199442147. The reversal of 3477199442112 is 2112449917743.

3477199442112 is a `hidden beast` number, since 3 + 4 + 7 + 7 + 199 + 442 + 1 + 1 + 2 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4297312 + ... + 5041952.

It is an arithmetic number, because the mean of its divisors is an integer number (44121941474).

Almost surely, 2^{3477199442112} is an apocalyptic number.

3477199442112 is a gapful number since it is divisible by the number (32) 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 3477199442112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5559364625724).

3477199442112 is an abundant number, since it is smaller than the sum of its proper divisors (7641529809336).

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

3477199442112 is a wasteful number, since it uses less digits than its factorization.

3477199442112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 744748 (or 744724 counting only the distinct ones).

The product of its digits is 3048192, while the sum is 54.

The spelling of 3477199442112 in words is "three trillion, four hundred seventy-seven billion, one hundred ninety-nine million, four hundred forty-two thousand, one hundred twelve".