3658525738560 has 3584 divisors, whose sum is σ = 17798057164800. Its totient is φ = 684745850880.

The previous prime is 3658525738531. The next prime is 3658525738561. The reversal of 3658525738560 is 658375258563.

3658525738560 is a `hidden beast` number, since 3 + 6 + 5 + 8 + 5 + 2 + 573 + 8 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (3658525738561) by changing a digit.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 28807289217 + ... + 28807289343.

Almost surely, 2^{3658525738560} is an apocalyptic number.

3658525738560 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 3658525738560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8899028582400).

3658525738560 is an abundant number, since it is smaller than the sum of its proper divisors (14139531426240).

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

3658525738560 is a wasteful number, since it uses less digits than its factorization.

3658525738560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 286 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 181440000, while the sum is 63.

The spelling of 3658525738560 in words is "three trillion, six hundred fifty-eight billion, five hundred twenty-five million, seven hundred thirty-eight thousand, five hundred sixty".