3512049381120 has 864 divisors, whose sum is σ = 13421297756160. Its totient is φ = 766579507200.

The previous prime is 3512049381119. The next prime is 3512049381131. The reversal of 3512049381120 is 211839402153.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2040701860 + ... + 2040703580.

It is an arithmetic number, because the mean of its divisors is an integer number (15533909440).

Almost surely, 2^{3512049381120} is an apocalyptic number.

3512049381120 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 3512049381120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6710648878080).

3512049381120 is an abundant number, since it is smaller than the sum of its proper divisors (9909248375040).

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

3512049381120 is a wasteful number, since it uses less digits than its factorization.

3512049381120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1893 (or 1848 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 3512049381120 in words is "three trillion, five hundred twelve billion, forty-nine million, three hundred eighty-one thousand, one hundred twenty".