3489571251360 has 864 divisors, whose sum is σ = 12864538132992. Its totient is φ = 893488527360.

The previous prime is 3489571251359. The next prime is 3489571251367. The reversal of 3489571251360 is 631521759843.

It is a happy number.

3489571251360 is a `hidden beast` number, since 3 + 4 + 8 + 9 + 57 + 12 + 513 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a junction number, because it is equal to n+sod(n) for n = 3489571251297 and 3489571251306.

It is not an unprimeable number, because it can be changed into a prime (3489571251367) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5109181579 + ... + 5109182261.

It is an arithmetic number, because the mean of its divisors is an integer number (14889511728).

It is a 1-persistent number, because it is pandigital, but 2⋅3489571251360 = 6979142502720 is not.

Almost surely, 2^{3489571251360} is an apocalyptic number.

3489571251360 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 3489571251360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6432269066496).

3489571251360 is an abundant number, since it is smaller than the sum of its proper divisors (9374966881632).

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

3489571251360 is an equidigital number, since it uses as much as digits as its factorization.

3489571251360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 3489571251360 in words is "three trillion, four hundred eighty-nine billion, five hundred seventy-one million, two hundred fifty-one thousand, three hundred sixty".