3531888870400 has 528 divisors, whose sum is σ = 9699088718592. Its totient is φ = 1264537600000.

The previous prime is 3531888870373. The next prime is 3531888870403. The reversal of 3531888870400 is 40788881353.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is not an unprimeable number, because it can be changed into a prime (3531888870403) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7562930967 + ... + 7562931433.

Almost surely, 2^{3531888870400} 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 3531888870400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4849544359296).

3531888870400 is an abundant number, since it is smaller than the sum of its proper divisors (6167199848192).

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

3531888870400 is a wasteful number, since it uses less digits than its factorization.

3531888870400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 866 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 3531888870400 in words is "three trillion, five hundred thirty-one billion, eight hundred eighty-eight million, eight hundred seventy thousand, four hundred".