3531859057440 has 1920 divisors, whose sum is σ = 15269613004800. Its totient is φ = 751724789760.

The previous prime is 3531859057429. The next prime is 3531859057537. The reversal of 3531859057440 is 447509581353.

It is a happy number.

3531859057440 is a `hidden beast` number, since 3 + 5 + 3 + 1 + 8 + 590 + 5 + 7 + 4 + 40 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 14777652841 + ... + 14777653079.

It is an arithmetic number, because the mean of its divisors is an integer number (7952923440).

Almost surely, 2^{3531859057440} is an apocalyptic number.

3531859057440 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 3531859057440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7634806502400).

3531859057440 is an abundant number, since it is smaller than the sum of its proper divisors (11737753947360).

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

3531859057440 is a wasteful number, since it uses less digits than its factorization.

3531859057440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 54.

The spelling of 3531859057440 in words is "three trillion, five hundred thirty-one billion, eight hundred fifty-nine million, fifty-seven thousand, four hundred forty".