3454345440 has 960 divisors, whose sum is σ = 15675327360. Its totient is φ = 696729600.

The previous prime is 3454345439. The next prime is 3454345507. The reversal of 3454345440 is 445434543.

3454345440 is a `hidden beast` number, since 34 + 54 + 34 + 544 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3454345395 and 3454345404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 34201390 + ... + 34201490.

It is an arithmetic number, because the mean of its divisors is an integer number (16328466).

Almost surely, 2^3454345440 is an apocalyptic number.

3454345440 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 3454345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7837663680).

3454345440 is an abundant number, since it is smaller than the sum of its proper divisors (12220981920).

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

3454345440 is a wasteful number, since it uses less digits than its factorization.

3454345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

The square root of 3454345440 is about 58773.6798235401. The cubic root of 3454345440 is about 1511.6639464791.

Adding to 3454345440 its reverse (445434543), we get a palindrome (3899779983).

The spelling of 3454345440 in words is "three billion, four hundred fifty-four million, three hundred forty-five thousand, four hundred forty".