3439687680 has 960 divisors, whose sum is σ = 14983768800. Its totient is φ = 743178240.

The previous prime is 3439687663. The next prime is 3439687681. The reversal of 3439687680 is 867869343.

3439687680 is a `hidden beast` number, since 3 + 439 + 68 + 76 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

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 (3439687681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 118609906 + ... + 118609934.

Almost surely, 2^3439687680 is an apocalyptic number.

3439687680 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 3439687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7491884400).

3439687680 is an abundant number, since it is smaller than the sum of its proper divisors (11544081120).

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

3439687680 is a wasteful number, since it uses less digits than its factorization.

3439687680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 54.

The square root of 3439687680 is about 58648.8506281240. The cubic root of 3439687680 is about 1509.5227765502.

The spelling of 3439687680 in words is "three billion, four hundred thirty-nine million, six hundred eighty-seven thousand, six hundred eighty".