3651056640 has 880 divisors, whose sum is σ = 16512903360. Its totient is φ = 758661120.

The previous prime is 3651056621. The next prime is 3651056657. The reversal of 3651056640 is 466501563.

3651056640 is a `hidden beast` number, since 3 + 6 + 5 + 1 + 0 + 5 + 6 + 640 = 666.

It is a tau number, because it is divible by the number of its divisors (880).

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

It is a junction number, because it is equal to n+sod(n) for n = 3651056595 and 3651056604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 331914235 + ... + 331914245.

Almost surely, 2^3651056640 is an apocalyptic number.

3651056640 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 3651056640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8256451680).

3651056640 is an abundant number, since it is smaller than the sum of its proper divisors (12861846720).

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

3651056640 is an equidigital number, since it uses as much as digits as its factorization.

3651056640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The square root of 3651056640 is about 60423.9740500408. The cubic root of 3651056640 is about 1539.8302843275.

The spelling of 3651056640 in words is "three billion, six hundred fifty-one million, fifty-six thousand, six hundred forty".