3428583711840 has 768 divisors, whose sum is σ = 14041665792000. Its totient is φ = 781019947008.

The previous prime is 3428583711779. The next prime is 3428583711881. The reversal of 3428583711840 is 481173858243.

3428583711840 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 583 + 7 + 1 + 18 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 454896552 + ... + 454904088.

It is an arithmetic number, because the mean of its divisors is an integer number (18283419000).

Almost surely, 2^{3428583711840} is an apocalyptic number.

3428583711840 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 3428583711840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7020832896000).

3428583711840 is an abundant number, since it is smaller than the sum of its proper divisors (10613082080160).

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

3428583711840 is a wasteful number, since it uses less digits than its factorization.

3428583711840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7889 (or 7861 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 54.

The spelling of 3428583711840 in words is "three trillion, four hundred twenty-eight billion, five hundred eighty-three million, seven hundred eleven thousand, eight hundred forty".