3140240100 has 72 divisors (see below), whose sum is σ = 9157413888. Its totient is φ = 830793600.

The previous prime is 3140240087. The next prime is 3140240101. The reversal of 3140240100 is 10420413.

It is a super-2 number, since 2×3140240100² = 19722215771296020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3140240100.

It is not an unprimeable number, because it can be changed into a prime (3140240101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3111 + ... + 79310.

It is an arithmetic number, because the mean of its divisors is an integer number (127186304).

Almost surely, 2^3140240100 is an apocalyptic number.

3140240100 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 3140240100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4578706944).

3140240100 is an abundant number, since it is smaller than the sum of its proper divisors (6017173788).

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

3140240100 is a wasteful number, since it uses less digits than its factorization.

3140240100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82565 (or 82558 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 3140240100 is about 56037.8452476538. The cubic root of 3140240100 is about 1464.3816732332.

Adding to 3140240100 its reverse (10420413), we get a palindrome (3150660513).

The spelling of 3140240100 in words is "three billion, one hundred forty million, two hundred forty thousand, one hundred".