3469813509120 has 704 divisors, whose sum is σ = 12854299539456. Its totient is φ = 782484111360.

The previous prime is 3469813509089. The next prime is 3469813509133. The reversal of 3469813509120 is 219053189643.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3365483005 + ... + 3365484035.

Almost surely, 2^{3469813509120} is an apocalyptic number.

3469813509120 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 3469813509120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6427149769728).

3469813509120 is an abundant number, since it is smaller than the sum of its proper divisors (9384486030336).

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

3469813509120 is a wasteful number, since it uses less digits than its factorization.

3469813509120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1456 (or 1438 counting only the distinct ones).

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 3469813509120 in words is "three trillion, four hundred sixty-nine billion, eight hundred thirteen million, five hundred nine thousand, one hundred twenty".