3641013360 has 120 divisors (see below), whose sum is σ = 12298837824. Its totient is φ = 965291520.

The previous prime is 3641013353. The next prime is 3641013371. The reversal of 3641013360 is 633101463.

3641013360 is a `hidden beast` number, since 3 + 641 + 0 + 13 + 3 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 109945 + ... + 139175.

Almost surely, 2^3641013360 is an apocalyptic number.

3641013360 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 3641013360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6149418912).

3641013360 is an abundant number, since it is smaller than the sum of its proper divisors (8657824464).

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

3641013360 is a wasteful number, since it uses less digits than its factorization.

3641013360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29423 (or 29414 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

The square root of 3641013360 is about 60340.8100707970. The cubic root of 3641013360 is about 1538.4170725558.

It can be divided in two parts, 36410 and 13360, that added together give a triangular number (49770 = T₃₁₅).

The spelling of 3641013360 in words is "three billion, six hundred forty-one million, thirteen thousand, three hundred sixty".