3487979880 has 960 divisors, whose sum is σ = 15572874240. Its totient is φ = 684288000.

The previous prime is 3487979857. The next prime is 3487979897. The reversal of 3487979880 is 889797843.

3487979880 is a `hidden beast` number, since 3 + 487 + 9 + 79 + 8 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 85072660 + ... + 85072700.

It is an arithmetic number, because the mean of its divisors is an integer number (16221744).

Almost surely, 2^3487979880 is an apocalyptic number.

3487979880 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 3487979880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7786437120).

3487979880 is an abundant number, since it is smaller than the sum of its proper divisors (12084894360).

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

3487979880 is a wasteful number, since it uses less digits than its factorization.

3487979880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 24385536, while the sum is 63.

The square root of 3487979880 is about 59059.1219033944. The cubic root of 3487979880 is about 1516.5543893591.

The spelling of 3487979880 in words is "three billion, four hundred eighty-seven million, nine hundred seventy-nine thousand, eight hundred eighty".