3735589680 has 60 divisors (see below), whose sum is σ = 12545357760. Its totient is φ = 996157056.

The previous prime is 3735589679. The next prime is 3735589687. The reversal of 3735589680 is 869855373.

It is a happy number.

3735589680 is a `hidden beast` number, since 3 + 7 + 3 + 558 + 9 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (60).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (3735589687) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2593440 + ... + 2594879.

It is an arithmetic number, because the mean of its divisors is an integer number (209089296).

Almost surely, 2^3735589680 is an apocalyptic number.

3735589680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3735589680 is an abundant number, since it is smaller than the sum of its proper divisors (8809768080).

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

3735589680 is a wasteful number, since it uses less digits than its factorization.

3735589680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5188338 (or 5188329 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The square root of 3735589680 is about 61119.4705474450. The cubic root of 3735589680 is about 1551.6236444385.

The spelling of 3735589680 in words is "three billion, seven hundred thirty-five million, five hundred eighty-nine thousand, six hundred eighty".