3454391040 has 288 divisors, whose sum is σ = 11626566336. Its totient is φ = 872939520.

The previous prime is 3454391011. The next prime is 3454391069. The reversal of 3454391040 is 401934543.

It is an interprime number because it is at equal distance from previous prime (3454391011) and next prime (3454391069).

It is a junction number, because it is equal to n+sod(n) for n = 3454390992 and 3454391010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5824984 + ... + 5825576.

It is an arithmetic number, because the mean of its divisors is an integer number (40370022).

Almost surely, 2^3454391040 is an apocalyptic number.

3454391040 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 3454391040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5813283168).

3454391040 is an abundant number, since it is smaller than the sum of its proper divisors (8172175296).

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

3454391040 is a wasteful number, since it uses less digits than its factorization.

3454391040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 3454391040 is about 58774.0677510073. The cubic root of 3454391040 is about 1511.6705981563.

The spelling of 3454391040 in words is "three billion, four hundred fifty-four million, three hundred ninety-one thousand, forty".