3676970880 has 384 divisors, whose sum is σ = 13988557440. Its totient is φ = 882585600.

The previous prime is 3676970837. The next prime is 3676970887. The reversal of 3676970880 is 880796763.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×3676970880² = 27040229704735948800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3676970887) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8299939 + ... + 8300381.

It is an arithmetic number, because the mean of its divisors is an integer number (36428535).

Almost surely, 2^3676970880 is an apocalyptic number.

3676970880 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 3676970880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6994278720).

3676970880 is an abundant number, since it is smaller than the sum of its proper divisors (10311586560).

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

3676970880 is a wasteful number, since it uses less digits than its factorization.

3676970880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 610 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 3676970880 is about 60638.0316303226. The cubic root of 3676970880 is about 1543.4648023800.

The spelling of 3676970880 in words is "three billion, six hundred seventy-six million, nine hundred seventy thousand, eight hundred eighty".