3661914528 has 96 divisors (see below), whose sum is σ = 10742760000. Its totient is φ = 1213532928.

The previous prime is 3661914491. The next prime is 3661914541. The reversal of 3661914528 is 8254191663.

3661914528 is a `hidden beast` number, since 3 + 6 + 6 + 191 + 452 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 137223 + ... + 161721.

It is an arithmetic number, because the mean of its divisors is an integer number (111903750).

Almost surely, 2^3661914528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3661914528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5371380000).

3661914528 is an abundant number, since it is smaller than the sum of its proper divisors (7080845472).

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

3661914528 is a wasteful number, since it uses less digits than its factorization.

3661914528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24691 (or 24677 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 3661914528 is about 60513.7548661459. The cubic root of 3661914528 is about 1541.3552089250.

The spelling of 3661914528 in words is "three billion, six hundred sixty-one million, nine hundred fourteen thousand, five hundred twenty-eight".