3340563240 has 384 divisors, whose sum is σ = 12889186560. Its totient is φ = 686923776.

The previous prime is 3340563227. The next prime is 3340563253. The reversal of 3340563240 is 423650433.

3340563240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3340563227) and next prime (3340563253).

It is a super-2 number, since 2×3340563240² = 22318725520878595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3340563198 and 3340563207.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2298354 + ... + 2299806.

It is an arithmetic number, because the mean of its divisors is an integer number (33565590).

Almost surely, 2^3340563240 is an apocalyptic number.

3340563240 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 3340563240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6444593280).

3340563240 is an abundant number, since it is smaller than the sum of its proper divisors (9548623320).

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

3340563240 is a wasteful number, since it uses less digits than its factorization.

3340563240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1510 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 30.

The square root of 3340563240 is about 57797.6058327678. The cubic root of 3340563240 is about 1494.8808068938.

It can be divided in two parts, 3340 and 563240, that added together give a triangular number (566580 = T₁₀₆₄).

The spelling of 3340563240 in words is "three billion, three hundred forty million, five hundred sixty-three thousand, two hundred forty".