3100413440 has 160 divisors (see below), whose sum is σ = 7713256320. Its totient is φ = 1194393600.

The previous prime is 3100413427. The next prime is 3100413469. The reversal of 3100413440 is 443140013.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a super-2 number, since 2×3100413440² = 19225126997865267200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11440505 + ... + 11440775.

It is an arithmetic number, because the mean of its divisors is an integer number (48207852).

Almost surely, 2^3100413440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3100413440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3856628160).

3100413440 is an abundant number, since it is smaller than the sum of its proper divisors (4612842880).

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

3100413440 is a wasteful number, since it uses less digits than its factorization.

3100413440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 444 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 3100413440 is about 55681.3563053200. The cubic root of 3100413440 is about 1458.1645541017.

Adding to 3100413440 its reverse (443140013), we get a palindrome (3543553453).

It can be divided in two parts, 31004 and 13440, that added together give a palindrome (44444).

The spelling of 3100413440 in words is "three billion, one hundred million, four hundred thirteen thousand, four hundred forty".