3514713228480 has 448 divisors, whose sum is σ = 11609046835200. Its totient is φ = 899975577600.

The previous prime is 3514713228469. The next prime is 3514713228517. The reversal of 3514713228480 is 848223174153.

It is a happy number.

It is a super-2 number, since 2×3514713228480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 3203931292 + ... + 3203932388.

Almost surely, 2^{3514713228480} is an apocalyptic number.

3514713228480 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 3514713228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5804523417600).

3514713228480 is an abundant number, since it is smaller than the sum of its proper divisors (8094333606720).

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

3514713228480 is a wasteful number, since it uses less digits than its factorization.

3514713228480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 48.

The spelling of 3514713228480 in words is "three trillion, five hundred fourteen billion, seven hundred thirteen million, two hundred twenty-eight thousand, four hundred eighty".