3409882542000 has 1280 divisors, whose sum is σ = 14439215831040. Its totient is φ = 759822336000.

The previous prime is 3409882541959. The next prime is 3409882542037. The reversal of 3409882542000 is 2452889043.

3409882542000 is a `hidden beast` number, since 340 + 9 + 88 + 25 + 4 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 434210074 + ... + 434217926.

It is an arithmetic number, because the mean of its divisors is an integer number (11280637368).

Almost surely, 2^{3409882542000} is an apocalyptic number.

3409882542000 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 3409882542000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7219607915520).

3409882542000 is an abundant number, since it is smaller than the sum of its proper divisors (11029333289040).

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

3409882542000 is a wasteful number, since it uses less digits than its factorization.

3409882542000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956 (or 7934 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 3409882542000 in words is "three trillion, four hundred nine billion, eight hundred eighty-two million, five hundred forty-two thousand".