3133740240 has 240 divisors, whose sum is σ = 10867304448. Its totient is φ = 808786944.

The previous prime is 3133740227. The next prime is 3133740263. The reversal of 3133740240 is 420473313.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3931522 + ... + 3932318.

Almost surely, 2^3133740240 is an apocalyptic number.

3133740240 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 3133740240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5433652224).

3133740240 is an abundant number, since it is smaller than the sum of its proper divisors (7733564208).

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

3133740240 is a wasteful number, since it uses less digits than its factorization.

3133740240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 27.

The square root of 3133740240 is about 55979.8199354017. The cubic root of 3133740240 is about 1463.3706199071.

The spelling of 3133740240 in words is "three billion, one hundred thirty-three million, seven hundred forty thousand, two hundred forty".