3121265664 has 330 divisors, whose sum is σ = 10278019752. Its totient is φ = 942796800.

The previous prime is 3121265633. The next prime is 3121265687. The reversal of 3121265664 is 4665621213.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 10036069 + ... + 10036379.

Almost surely, 2^3121265664 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 3121265664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5139009876).

3121265664 is an abundant number, since it is smaller than the sum of its proper divisors (7156754088).

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

3121265664 is a wasteful number, since it uses less digits than its factorization.

3121265664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365 (or 327 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 3121265664 is about 55868.2885365213. The cubic root of 3121265664 is about 1461.4262761968.

Adding to 3121265664 its reverse (4665621213), we get a palindrome (7786886877).

The spelling of 3121265664 in words is "three billion, one hundred twenty-one million, two hundred sixty-five thousand, six hundred sixty-four".