3403146240 has 792 divisors, whose sum is σ = 14025061440. Its totient is φ = 759103488.

The previous prime is 3403146233. The next prime is 3403146251. The reversal of 3403146240 is 426413043.

3403146240 is a `hidden beast` number, since 3 + 4 + 0 + 31 + 4 + 624 + 0 = 666.

It is a super-2 number, since 2×3403146240² = 23162808661652275200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 147962869 + ... + 147962891.

Almost surely, 2^3403146240 is an apocalyptic number.

3403146240 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 3403146240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7012530720).

3403146240 is an abundant number, since it is smaller than the sum of its proper divisors (10621915200).

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

3403146240 is a wasteful number, since it uses less digits than its factorization.

3403146240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

The square root of 3403146240 is about 58336.4914954611. The cubic root of 3403146240 is about 1504.1582751796.

Adding to 3403146240 its reverse (426413043), we get a palindrome (3829559283).

The spelling of 3403146240 in words is "three billion, four hundred three million, one hundred forty-six thousand, two hundred forty".