3340142640 has 120 divisors (see below), whose sum is σ = 11231551968. Its totient is φ = 889574400.

The previous prime is 3340142629. The next prime is 3340142651. The reversal of 3340142640 is 462410433.

3340142640 is a `hidden beast` number, since 3 + 3 + 4 + 0 + 14 + 2 + 640 = 666.

It is an interprime number because it is at equal distance from previous prime (3340142629) and next prime (3340142651).

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×3340142640² = 22313105711092339200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 672165 + ... + 677115.

Almost surely, 2^3340142640 is an apocalyptic number.

3340142640 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 3340142640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5615775984).

3340142640 is an abundant number, since it is smaller than the sum of its proper divisors (7891409328).

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

3340142640 is a wasteful number, since it uses less digits than its factorization.

3340142640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5907 (or 5898 counting only the distinct ones).

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

The square root of 3340142640 is about 57793.9671592113. The cubic root of 3340142640 is about 1494.8180656521.

The spelling of 3340142640 in words is "three billion, three hundred forty million, one hundred forty-two thousand, six hundred forty".