3735465984 has 234 divisors, whose sum is σ = 11285068340. Its totient is φ = 1236197376.

The previous prime is 3735465971. The next prime is 3735466001. The reversal of 3735465984 is 4895645373.

3735465984 is a `hidden beast` number, since 3 + 7 + 3 + 5 + 46 + 598 + 4 = 666.

It is a super-2 number, since 2×3735465984² = 27907412235242176512, which contains 22 as substring.

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

Its product of digits (10886400) is a multiple of the sum of its prime divisors (144).

It is a nialpdrome in base 12.

It is a self number, because there is not a number n which added to its sum of digits gives 3735465984.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 26873787 + ... + 26873925.

Almost surely, 2^3735465984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3735465984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5642534170).

3735465984 is an abundant number, since it is smaller than the sum of its proper divisors (7549602356).

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

3735465984 is an frugal number, since it uses more digits than its factorization.

3735465984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187 (or 144 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 54.

The square root of 3735465984 is about 61118.4586193075. The cubic root of 3735465984 is about 1551.6065180254.

The spelling of 3735465984 in words is "three billion, seven hundred thirty-five million, four hundred sixty-five thousand, nine hundred eighty-four".