3676639680 has 896 divisors, whose sum is σ = 16011509760. Its totient is φ = 776355840.

The previous prime is 3676639679. The next prime is 3676639709. The reversal of 3676639680 is 869366763.

It is a happy number.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 69370534 + ... + 69370586.

Almost surely, 2^3676639680 is an apocalyptic number.

3676639680 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3676639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8005754880).

3676639680 is an abundant number, since it is smaller than the sum of its proper divisors (12334870080).

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

3676639680 is a wasteful number, since it uses less digits than its factorization.

3676639680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 54.

The square root of 3676639680 is about 60635.3006094635. The cubic root of 3676639680 is about 1543.4184588988.

The spelling of 3676639680 in words is "three billion, six hundred seventy-six million, six hundred thirty-nine thousand, six hundred eighty".