3187940490 has 240 divisors, whose sum is σ = 10297165824. Its totient is φ = 704894400.

The previous prime is 3187940489. The next prime is 3187940491. The reversal of 3187940490 is 940497813.

It is an interprime number because it is at equal distance from previous prime (3187940489) and next prime (3187940491).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3187940491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1229095 + ... + 1231685.

Almost surely, 2^3187940490 is an apocalyptic number.

3187940490 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3187940490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5148582912).

3187940490 is an abundant number, since it is smaller than the sum of its proper divisors (7109225334).

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

3187940490 is a wasteful number, since it uses less digits than its factorization.

3187940490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2655 (or 2639 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 3187940490 is about 56461.8498634255. The cubic root of 3187940490 is about 1471.7591185494.

The spelling of 3187940490 in words is "three billion, one hundred eighty-seven million, nine hundred forty thousand, four hundred ninety".