3673257984 has 432 divisors, whose sum is σ = 12291322680. Its totient is φ = 1094860800.

The previous prime is 3673257971. The next prime is 3673257989. The reversal of 3673257984 is 4897523763.

3673257984 is a `hidden beast` number, since 3 + 67 + 3 + 2 + 579 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

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

Its product of digits (7620480) is a multiple of the sum of its prime factors (120).

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 3673257984.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3673257989) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 60217314 + ... + 60217374.

Almost surely, 2^3673257984 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 3673257984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6145661340).

3673257984 is an abundant number, since it is smaller than the sum of its proper divisors (8618064696).

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

3673257984 is an equidigital number, since it uses as much as digits as its factorization.

3673257984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 77 counting only the distinct ones).

The product of its digits is 7620480, while the sum is 54.

The square root of 3673257984 is about 60607.4086560381. The cubic root of 3673257984 is about 1542.9451124444.

The spelling of 3673257984 in words is "three billion, six hundred seventy-three million, two hundred fifty-seven thousand, nine hundred eighty-four".