3428387389440 has 1344 divisors, whose sum is σ = 13867369044480. Its totient is φ = 807218970624.

The previous prime is 3428387389423. The next prime is 3428387389451. The reversal of 3428387389440 is 449837838243.

3428387389440 is a `hidden beast` number, since 3 + 4 + 2 + 83 + 87 + 38 + 9 + 440 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 149060321269 + ... + 149060321291.

It is an arithmetic number, because the mean of its divisors is an integer number (10317982920).

Almost surely, 2^{3428387389440} is an apocalyptic number.

3428387389440 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 3428387389440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933684522240).

3428387389440 is an abundant number, since it is smaller than the sum of its proper divisors (10438981655040).

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

3428387389440 is an frugal number, since it uses more digits than its factorization.

3428387389440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 111476736, while the sum is 63.

It can be divided in two parts, 342838 and 7389440, that added together give a triangular number (7732278 = T₃₉₃₂).

The spelling of 3428387389440 in words is "three trillion, four hundred twenty-eight billion, three hundred eighty-seven million, three hundred eighty-nine thousand, four hundred forty".