3661096320 has 896 divisors, whose sum is σ = 16053984000. Its totient is φ = 779341824.

The previous prime is 3661096303. The next prime is 3661096333. The reversal of 3661096320 is 236901663.

3661096320 is a `hidden beast` number, since 3 + 6 + 6 + 10 + 9 + 632 + 0 = 666.

3661096320 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (896).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 62052451 + ... + 62052509.

Almost surely, 2^3661096320 is an apocalyptic number.

3661096320 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 3661096320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8026992000).

3661096320 is an abundant number, since it is smaller than the sum of its proper divisors (12392887680).

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

3661096320 is an equidigital number, since it uses as much as digits as its factorization.

3661096320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 36.

The square root of 3661096320 is about 60506.9939759033. The cubic root of 3661096320 is about 1541.2404016665.

Adding to 3661096320 its reverse (236901663), we get a palindrome (3897997983).

The spelling of 3661096320 in words is "three billion, six hundred sixty-one million, ninety-six thousand, three hundred twenty".