3658512500 has 54 divisors (see below), whose sum is σ = 8017303266. Its totient is φ = 1460700000.

The previous prime is 3658512499. The next prime is 3658512509. The reversal of 3658512500 is 52158563.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 3642846736 + 15665764 = 60356^2 + 3958^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3658512509) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 6762230 + ... + 6762770.

It is an arithmetic number, because the mean of its divisors is an integer number (148468579).

Almost surely, 2^3658512500 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 3658512500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4008651633).

3658512500 is an abundant number, since it is smaller than the sum of its proper divisors (4358790766).

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

3658512500 is an frugal number, since it uses more digits than its factorization.

3658512500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1111 (or 548 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 35.

The square root of 3658512500 is about 60485.6387913693. The cubic root of 3658512500 is about 1540.8777393537.

The spelling of 3658512500 in words is "three billion, six hundred fifty-eight million, five hundred twelve thousand, five hundred".