3405837240 has 512 divisors, whose sum is σ = 13063680000. Its totient is φ = 782825472.

The previous prime is 3405837233. The next prime is 3405837247. The reversal of 3405837240 is 427385043.

It is a happy number.

3405837240 is a `hidden beast` number, since 3 + 4 + 0 + 583 + 72 + 4 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (3405837233) and next prime (3405837247).

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 = 3405837195 and 3405837204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3405837247) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17114661 + ... + 17114859.

It is an arithmetic number, because the mean of its divisors is an integer number (25515000).

Almost surely, 2^3405837240 is an apocalyptic number.

3405837240 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 3405837240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6531840000).

3405837240 is an abundant number, since it is smaller than the sum of its proper divisors (9657842760).

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

3405837240 is a wasteful number, since it uses less digits than its factorization.

3405837240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The square root of 3405837240 is about 58359.5514033478. The cubic root of 3405837240 is about 1504.5546361950.

The spelling of 3405837240 in words is "three billion, four hundred five million, eight hundred thirty-seven thousand, two hundred forty".