3201000469956 has 81 divisors (see below), whose sum is σ = 8361720415503. Its totient is φ = 1032473448720.

The previous prime is 3201000469897. The next prime is 3201000469957. The reversal of 3201000469956 is 6599640001023.

The square root of 3201000469956 is 1789134.

It is a perfect power (a square), and thus also a powerful number.

3201000469956 is a `hidden beast` number, since 32 + 0 + 100 + 0 + 469 + 9 + 56 = 666.

It is not an unprimeable number, because it can be changed into a prime (3201000469957) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 332774115 + ... + 332783733.

Almost surely, 2^{3201000469956} is an apocalyptic number.

3201000469956 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

3201000469956 is the 1789134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3201000469956

3201000469956 is an abundant number, since it is smaller than the sum of its proper divisors (5160719945547).

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

3201000469956 is an frugal number, since it uses more digits than its factorization.

3201000469956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19310 (or 9655 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 3201000469956 in words is "three trillion, two hundred one billion, four hundred sixty-nine thousand, nine hundred fifty-six".