3440227276728 has 336 divisors, whose sum is σ = 11135001987000. Its totient is φ = 987618407040.

The previous prime is 3440227276711. The next prime is 3440227276757. The reversal of 3440227276728 is 8276727220443.

3440227276728 is a `hidden beast` number, since 34 + 402 + 2 + 72 + 76 + 72 + 8 = 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 83 ways as a sum of consecutive naturals, for example, 23084598 + ... + 23233146.

Almost surely, 2^{3440227276728} is an apocalyptic number.

3440227276728 is a gapful number since it is divisible by the number (38) 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 3440227276728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5567500993500).

3440227276728 is an abundant number, since it is smaller than the sum of its proper divisors (7694774710272).

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

3440227276728 is a wasteful number, since it uses less digits than its factorization.

3440227276728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148622 (or 148584 counting only the distinct ones).

The product of its (nonzero) digits is 12644352, while the sum is 54.

The spelling of 3440227276728 in words is "three trillion, four hundred forty billion, two hundred twenty-seven million, two hundred seventy-six thousand, seven hundred twenty-eight".