3121876480 has 160 divisors (see below), whose sum is σ = 8027325504. Its totient is φ = 1161363456.

The previous prime is 3121876399. The next prime is 3121876487. The reversal of 3121876480 is 846781213.

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

It is a super-2 number, since 2×3121876480² = 19492225512754380800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3121876487) 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, 2177844 + ... + 2179276.

Almost surely, 2^3121876480 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 3121876480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4013662752).

3121876480 is an abundant number, since it is smaller than the sum of its proper divisors (4905449024).

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

3121876480 is a wasteful number, since it uses less digits than its factorization.

3121876480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1516 (or 1500 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 40.

The square root of 3121876480 is about 55873.7548407121. The cubic root of 3121876480 is about 1461.5216012374.

The spelling of 3121876480 in words is "three billion, one hundred twenty-one million, eight hundred seventy-six thousand, four hundred eighty".