3494485968480 has 480 divisors, whose sum is σ = 13302354298464. Its totient is φ = 858816774144.

The previous prime is 3494485968427. The next prime is 3494485968503. The reversal of 3494485968480 is 848695844943.

3494485968480 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 4 + 85 + 9 + 68 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a super-2 number, since 2×3494485968480² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 3494485968399 and 3494485968408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 108316512 + ... + 108348768.

Almost surely, 2^{3494485968480} is an apocalyptic number.

3494485968480 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 3494485968480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651177149232).

3494485968480 is an abundant number, since it is smaller than the sum of its proper divisors (9807868329984).

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

3494485968480 is a wasteful number, since it uses less digits than its factorization.

3494485968480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32940 (or 32923 counting only the distinct ones).

The product of its (nonzero) digits is 955514880, while the sum is 72.

The spelling of 3494485968480 in words is "three trillion, four hundred ninety-four billion, four hundred eighty-five million, nine hundred sixty-eight thousand, four hundred eighty".