3675417984 has 256 divisors, whose sum is σ = 12497856000. Its totient is φ = 1041610752.

The previous prime is 3675417983. The next prime is 3675418013. The reversal of 3675417984 is 4897145763.

3675417984 is a `hidden beast` number, since 3 + 6 + 7 + 541 + 7 + 98 + 4 = 666.

It is a super-2 number, since 2×3675417984² = 27017394714221248512, which contains 22 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 3675417984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3675417983) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3362142 + ... + 3363234.

It is an arithmetic number, because the mean of its divisors is an integer number (48819750).

Almost surely, 2^3675417984 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 3675417984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6248928000).

3675417984 is an abundant number, since it is smaller than the sum of its proper divisors (8822438016).

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

3675417984 is a wasteful number, since it uses less digits than its factorization.

3675417984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262 (or 1244 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The square root of 3675417984 is about 60625.2256408172. The cubic root of 3675417984 is about 1543.2474878300.

The spelling of 3675417984 in words is "three billion, six hundred seventy-five million, four hundred seventeen thousand, nine hundred eighty-four".