3428944777440 has 1536 divisors, whose sum is σ = 15738424934400. Its totient is φ = 677012152320.

The previous prime is 3428944777429. The next prime is 3428944777457. The reversal of 3428944777440 is 447774498243.

3428944777440 is a `hidden beast` number, since 3 + 4 + 2 + 8 + 94 + 477 + 74 + 4 + 0 = 666.

It is a super-3 number, since 3×3428944777440³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 619947475 + ... + 619953005.

It is an arithmetic number, because the mean of its divisors is an integer number (10246370400).

Almost surely, 2^{3428944777440} is an apocalyptic number.

3428944777440 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 3428944777440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869212467200).

3428944777440 is an abundant number, since it is smaller than the sum of its proper divisors (12309480156960).

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

3428944777440 is a wasteful number, since it uses less digits than its factorization.

3428944777440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5677 (or 5663 counting only the distinct ones).

The product of its (nonzero) digits is 151732224, while the sum is 63.

The spelling of 3428944777440 in words is "three trillion, four hundred twenty-eight billion, nine hundred forty-four million, seven hundred seventy-seven thousand, four hundred forty".