3677204960 has 192 divisors, whose sum is σ = 10276217280. Its totient is φ = 1225850880.

The previous prime is 3677204893. The next prime is 3677204963. The reversal of 3677204960 is 694027763.

It is a happy number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3677204963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3957776 + ... + 3958704.

It is an arithmetic number, because the mean of its divisors is an integer number (53521965).

Almost surely, 2^3677204960 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 3677204960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5138108640).

3677204960 is an abundant number, since it is smaller than the sum of its proper divisors (6599012320).

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

3677204960 is a wasteful number, since it uses less digits than its factorization.

3677204960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 44.

The square root of 3677204960 is about 60639.9617414127. The cubic root of 3677204960 is about 1543.4975545725.

The spelling of 3677204960 in words is "three billion, six hundred seventy-seven million, two hundred four thousand, nine hundred sixty".