3605473347840 has 3456 divisors, whose sum is σ = 17279265669120. Its totient is φ = 698290274304.

The previous prime is 3605473347821. The next prime is 3605473347841. The reversal of 3605473347840 is 487433745063.

3605473347840 is a `hidden beast` number, since 3 + 60 + 5 + 4 + 73 + 3 + 478 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3605473347841) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 28389553857 + ... + 28389553983.

It is an arithmetic number, because the mean of its divisors is an integer number (4999787520).

Almost surely, 2^{3605473347840} is an apocalyptic number.

3605473347840 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 3605473347840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8639632834560).

3605473347840 is an abundant number, since it is smaller than the sum of its proper divisors (13673792321280).

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

3605473347840 is a wasteful number, since it uses less digits than its factorization.

3605473347840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 54.

The spelling of 3605473347840 in words is "three trillion, six hundred five billion, four hundred seventy-three million, three hundred forty-seven thousand, eight hundred forty".