3427345440 has 192 divisors, whose sum is σ = 12085355520. Its totient is φ = 907130880.

The previous prime is 3427345429. The next prime is 3427345463. The reversal of 3427345440 is 445437243.

3427345440 is a `hidden beast` number, since 3 + 42 + 73 + 4 + 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 = 3427345395 and 3427345404.

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, 588945 + ... + 594735.

It is an arithmetic number, because the mean of its divisors is an integer number (62944560).

Almost surely, 2^3427345440 is an apocalyptic number.

3427345440 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 3427345440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6042677760).

3427345440 is an abundant number, since it is smaller than the sum of its proper divisors (8658010080).

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

3427345440 is a wasteful number, since it uses less digits than its factorization.

3427345440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5938 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 36.

The square root of 3427345440 is about 58543.5345704374. The cubic root of 3427345440 is about 1507.7151298140.

The spelling of 3427345440 in words is "three billion, four hundred twenty-seven million, three hundred forty-five thousand, four hundred forty".