3487879440 has 400 divisors, whose sum is σ = 12704186880. Its totient is φ = 885841920.

The previous prime is 3487879429. The next prime is 3487879441. The reversal of 3487879440 is 449787843.

It is a super-3 number, since 3×3487879440³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3487879441) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 19485271 + ... + 19485449.

Almost surely, 2^3487879440 is an apocalyptic number.

3487879440 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 3487879440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6352093440).

3487879440 is an abundant number, since it is smaller than the sum of its proper divisors (9216307440).

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

3487879440 is a wasteful number, since it uses less digits than its factorization.

3487879440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 332 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The square root of 3487879440 is about 59058.2715629233. The cubic root of 3487879440 is about 1516.5398323003.

The spelling of 3487879440 in words is "three billion, four hundred eighty-seven million, eight hundred seventy-nine thousand, four hundred forty".