3695505984 has 112 divisors (see below), whose sum is σ = 11069360640. Its totient is φ = 1208563200.

The previous prime is 3695505977. The next prime is 3695505991. The reversal of 3695505984 is 4895055963.

It is a happy number.

3695505984 is a `hidden beast` number, since 3 + 6 + 9 + 550 + 5 + 9 + 84 = 666.

It is an interprime number because it is at equal distance from previous prime (3695505977) and next prime (3695505991).

It is a super-3 number, since 3×3695505984³ (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 self number, because there is not a number n which added to its sum of digits gives 3695505984.

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 15 ways as a sum of consecutive naturals, for example, 71409 + ... + 111759.

Almost surely, 2^3695505984 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 3695505984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5534680320).

3695505984 is an abundant number, since it is smaller than the sum of its proper divisors (7373854656).

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

3695505984 is a wasteful number, since it uses less digits than its factorization.

3695505984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40425 (or 40409 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The square root of 3695505984 is about 60790.6734951999. The cubic root of 3695505984 is about 1546.0539213041.

The spelling of 3695505984 in words is "three billion, six hundred ninety-five million, five hundred five thousand, nine hundred eighty-four".