3471862285440 has 192 divisors, whose sum is σ = 11990696365440. Its totient is φ = 925681526784.

The previous prime is 3471862285393. The next prime is 3471862285447. The reversal of 3471862285440 is 445822681743.

3471862285440 is a `hidden beast` number, since 3 + 4 + 7 + 1 + 8 + 622 + 8 + 5 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (3471862285447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38564319 + ... + 38654241.

It is an arithmetic number, because the mean of its divisors is an integer number (62451543570).

Almost surely, 2^{3471862285440} is an apocalyptic number.

3471862285440 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 3471862285440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5995348182720).

3471862285440 is an abundant number, since it is smaller than the sum of its proper divisors (8518834080000).

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

3471862285440 is a wasteful number, since it uses less digits than its factorization.

3471862285440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96651 (or 96636 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 3471862285440 in words is "three trillion, four hundred seventy-one billion, eight hundred sixty-two million, two hundred eighty-five thousand, four hundred forty".