3671242457960 has 384 divisors, whose sum is σ = 10623200716800. Its totient is φ = 1117347264000.

The previous prime is 3671242457947. The next prime is 3671242457989. The reversal of 3671242457960 is 697542421763.

It is a happy number.

It is a Smith number, since the sum of its digits (56) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a junction number, because it is equal to n+sod(n) for n = 3671242457896 and 3671242457905.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 301830839 + ... + 301843001.

It is an arithmetic number, because the mean of its divisors is an integer number (27664585200).

Almost surely, 2^{3671242457960} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3671242457960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5311600358400).

3671242457960 is an abundant number, since it is smaller than the sum of its proper divisors (6951958258840).

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

3671242457960 is a wasteful number, since it uses less digits than its factorization.

3671242457960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12413 (or 12398 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 56.

The spelling of 3671242457960 in words is "three trillion, six hundred seventy-one billion, two hundred forty-two million, four hundred fifty-seven thousand, nine hundred sixty".