3121364640 has 96 divisors (see below), whose sum is σ = 9847728576. Its totient is φ = 831057920.

The previous prime is 3121364599. The next prime is 3121364647. The reversal of 3121364640 is 464631213.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 3121364598 and 3121364607.

It is not an unprimeable number, because it can be changed into a prime (3121364647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 323080 + ... + 332600.

It is an arithmetic number, because the mean of its divisors is an integer number (102580506).

Almost surely, 2^3121364640 is an apocalyptic number.

3121364640 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 3121364640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4923864288).

3121364640 is an abundant number, since it is smaller than the sum of its proper divisors (6726363936).

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

3121364640 is a wasteful number, since it uses less digits than its factorization.

3121364640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10222 (or 10214 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 30.

The square root of 3121364640 is about 55869.1743271726. The cubic root of 3121364640 is about 1461.4417234132.

Adding to 3121364640 its reverse (464631213), we get a palindrome (3585995853).

The spelling of 3121364640 in words is "three billion, one hundred twenty-one million, three hundred sixty-four thousand, six hundred forty".