3557986506 has 64 divisors (see below), whose sum is σ = 8042250240. Its totient is φ = 1165757040.

The previous prime is 3557986483. The next prime is 3557986507. The reversal of 3557986506 is 6056897553.

3557986506 is a `hidden beast` number, since 3 + 5 + 57 + 9 + 86 + 506 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3557986507) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1467211 + ... + 1469633.

It is an arithmetic number, because the mean of its divisors is an integer number (125660160).

Almost surely, 2^3557986506 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3557986506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4021125120).

3557986506 is an abundant number, since it is smaller than the sum of its proper divisors (4484263734).

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

3557986506 is a wasteful number, since it uses less digits than its factorization.

3557986506 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2888 (or 2882 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 3557986506 is about 59648.8600561654. The cubic root of 3557986506 is about 1526.6334204435.

The spelling of 3557986506 in words is "three billion, five hundred fifty-seven million, nine hundred eighty-six thousand, five hundred six".