3101725440 has 576 divisors, whose sum is σ = 12362112000. Its totient is φ = 729907200.

The previous prime is 3101725427. The next prime is 3101725457. The reversal of 3101725440 is 445271013.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15586461 + ... + 15586659.

It is an arithmetic number, because the mean of its divisors is an integer number (21462000).

Almost surely, 2^3101725440 is an apocalyptic number.

3101725440 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 3101725440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6181056000).

3101725440 is an abundant number, since it is smaller than the sum of its proper divisors (9260386560).

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

3101725440 is a wasteful number, since it uses less digits than its factorization.

3101725440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 3101725440 is about 55693.1363814250. The cubic root of 3101725440 is about 1458.3702086204.

Adding to 3101725440 its reverse (445271013), we get a palindrome (3546996453).

The spelling of 3101725440 in words is "three billion, one hundred one million, seven hundred twenty-five thousand, four hundred forty".