3664277760 has 288 divisors, whose sum is σ = 13750789248. Its totient is φ = 819855360.

The previous prime is 3664277759. The next prime is 3664277783. The reversal of 3664277760 is 677724663.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 545784 + ... + 552456.

It is an arithmetic number, because the mean of its divisors is an integer number (47745796).

Almost surely, 2^3664277760 is an apocalyptic number.

3664277760 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 3664277760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6875394624).

3664277760 is an abundant number, since it is smaller than the sum of its proper divisors (10086511488).

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

3664277760 is a wasteful number, since it uses less digits than its factorization.

3664277760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6721 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The square root of 3664277760 is about 60533.2781203860. The cubic root of 3664277760 is about 1541.6867109869.

The spelling of 3664277760 in words is "three billion, six hundred sixty-four million, two hundred seventy-seven thousand, seven hundred sixty".