3382200442476 has 144 divisors (see below), whose sum is σ = 9071948121600. Its totient is φ = 1059469082496.

The previous prime is 3382200442463. The next prime is 3382200442499. The reversal of 3382200442476 is 6742440022833.

3382200442476 is a `hidden beast` number, since 3 + 382 + 20 + 0 + 4 + 4 + 247 + 6 = 666.

It is a super-2 number, since 2×3382200442476² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 115312525 + ... + 115341851.

Almost surely, 2^{3382200442476} is an apocalyptic number.

3382200442476 is a gapful number since it is divisible by the number (36) 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 3382200442476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4535974060800).

3382200442476 is an abundant number, since it is smaller than the sum of its proper divisors (5689747679124).

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

3382200442476 is a wasteful number, since it uses less digits than its factorization.

3382200442476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30708 (or 30703 counting only the distinct ones).

The product of its (nonzero) digits is 1548288, while the sum is 45.

The spelling of 3382200442476 in words is "three trillion, three hundred eighty-two billion, two hundred million, four hundred forty-two thousand, four hundred seventy-six".