3664726080 has 224 divisors, whose sum is σ = 12305141760. Its totient is φ = 921507840.

The previous prime is 3664726069. The next prime is 3664726111. The reversal of 3664726080 is 806274663.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6037137 + ... + 6037743.

Almost surely, 2^3664726080 is an apocalyptic number.

3664726080 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 3664726080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6152570880).

3664726080 is an abundant number, since it is smaller than the sum of its proper divisors (8640415680).

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

3664726080 is a wasteful number, since it uses less digits than its factorization.

3664726080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The square root of 3664726080 is about 60536.9810942039. The cubic root of 3664726080 is about 1541.7495829310.

The spelling of 3664726080 in words is "three billion, six hundred sixty-four million, seven hundred twenty-six thousand, eighty".