3490659781632 has 352 divisors, whose sum is σ = 10582312688640. Its totient is φ = 1136131522560.

The previous prime is 3490659781619. The next prime is 3490659781669. The reversal of 3490659781632 is 2361879560943.

3490659781632 is a `hidden beast` number, since 3 + 4 + 9 + 0 + 6 + 597 + 8 + 1 + 6 + 32 = 666.

It is a super-3 number, since 3×3490659781632³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 3490659781632.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 599046303 + ... + 599052129.

It is an arithmetic number, because the mean of its divisors is an integer number (30063388320).

It is a 1-persistent number, because it is pandigital, but 2⋅3490659781632 = 6981319563264 is not.

Almost surely, 2^{3490659781632} is an apocalyptic number.

3490659781632 is a gapful number since it is divisible by the number (32) 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 3490659781632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5291156344320).

3490659781632 is an abundant number, since it is smaller than the sum of its proper divisors (7091652907008).

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

3490659781632 is a wasteful number, since it uses less digits than its factorization.

3490659781632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6364 (or 6340 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 3490659781632 in words is "three trillion, four hundred ninety billion, six hundred fifty-nine million, seven hundred eighty-one thousand, six hundred thirty-two".