3546439680 has 672 divisors, whose sum is σ = 14343644160. Its totient is φ = 743178240.

The previous prime is 3546439669. The next prime is 3546439709. The reversal of 3546439680 is 869346453.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114401265 + ... + 114401295.

Almost surely, 2^3546439680 is an apocalyptic number.

3546439680 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 3546439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171822080).

3546439680 is an abundant number, since it is smaller than the sum of its proper divisors (10797204480).

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

3546439680 is a wasteful number, since it uses less digits than its factorization.

3546439680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 48.

The square root of 3546439680 is about 59551.9914024712. The cubic root of 3546439680 is about 1524.9801563305.

The spelling of 3546439680 in words is "three billion, five hundred forty-six million, four hundred thirty-nine thousand, six hundred eighty".