3459628372440 has 256 divisors, whose sum is σ = 11348535767040. Its totient is φ = 839946240000.

The previous prime is 3459628372399. The next prime is 3459628372441. The reversal of 3459628372440 is 442738269543.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3459628372441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 177125475 + ... + 177145005.

It is an arithmetic number, because the mean of its divisors is an integer number (44330217840).

Almost surely, 2^{3459628372440} is an apocalyptic number.

3459628372440 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 3459628372440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5674267883520).

3459628372440 is an abundant number, since it is smaller than the sum of its proper divisors (7888907394600).

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

3459628372440 is a wasteful number, since it uses less digits than its factorization.

3459628372440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22394 (or 22390 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 57.

The spelling of 3459628372440 in words is "three trillion, four hundred fifty-nine billion, six hundred twenty-eight million, three hundred seventy-two thousand, four hundred forty".