3182977140 has 96 divisors (see below), whose sum is σ = 10236979200. Its totient is φ = 723862656.

The previous prime is 3182977117. The next prime is 3182977141. The reversal of 3182977140 is 417792813.

3182977140 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 3182977092 and 3182977101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3182977141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64539 + ... + 102621.

It is an arithmetic number, because the mean of its divisors is an integer number (106635200).

Almost surely, 2^3182977140 is an apocalyptic number.

3182977140 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 3182977140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5118489600).

3182977140 is an abundant number, since it is smaller than the sum of its proper divisors (7054002060).

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

3182977140 is a wasteful number, since it uses less digits than its factorization.

3182977140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38301 (or 38299 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The square root of 3182977140 is about 56417.8796127611. The cubic root of 3182977140 is about 1470.9949208970.

The spelling of 3182977140 in words is "three billion, one hundred eighty-two million, nine hundred seventy-seven thousand, one hundred forty".