3474487956420 has 576 divisors, whose sum is σ = 12264400512000. Its totient is φ = 789004219392.

The previous prime is 3474487956389. The next prime is 3474487956421. The reversal of 3474487956420 is 246597844743.

3474487956420 is a `hidden beast` number, since 3 + 4 + 7 + 4 + 48 + 7 + 9 + 564 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (3474487956421) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 280669791 + ... + 280682169.

It is an arithmetic number, because the mean of its divisors is an integer number (21292362000).

Almost surely, 2^{3474487956420} is an apocalyptic number.

3474487956420 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 3474487956420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6132200256000).

3474487956420 is an abundant number, since it is smaller than the sum of its proper divisors (8789912555580).

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

3474487956420 is a wasteful number, since it uses less digits than its factorization.

3474487956420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12592 (or 12587 counting only the distinct ones).

The product of its (nonzero) digits is 162570240, while the sum is 63.

The spelling of 3474487956420 in words is "three trillion, four hundred seventy-four billion, four hundred eighty-seven million, nine hundred fifty-six thousand, four hundred twenty".