3575807904480 has 1152 divisors, whose sum is σ = 14656299356160. Its totient is φ = 727014113280.

The previous prime is 3575807904479. The next prime is 3575807904481. The reversal of 3575807904480 is 844097085753.

It is an interprime number because it is at equal distance from previous prime (3575807904479) and next prime (3575807904481).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3575807904481) 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, 532983366 + ... + 532990074.

It is an arithmetic number, because the mean of its divisors is an integer number (12722482080).

Almost surely, 2^{3575807904480} is an apocalyptic number.

3575807904480 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 3575807904480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7328149678080).

3575807904480 is an abundant number, since it is smaller than the sum of its proper divisors (11080491451680).

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

3575807904480 is a wasteful number, since it uses less digits than its factorization.

3575807904480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6832 (or 6817 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 60.

The spelling of 3575807904480 in words is "three trillion, five hundred seventy-five billion, eight hundred seven million, nine hundred four thousand, four hundred eighty".