3501663400 has 96 divisors (see below), whose sum is σ = 8637270840. Its totient is φ = 1315676160.

The previous prime is 3501663391. The next prime is 3501663401. The reversal of 3501663400 is 43661053.

It can be written as a sum of positive squares in 12 ways, for example, as 2146098276 + 1355565124 = 46326^2 + 36818^2 .

It is not an unprimeable number, because it can be changed into a prime (3501663401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3389284 + ... + 3390316.

Almost surely, 2^3501663400 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 3501663400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4318635420).

3501663400 is an abundant number, since it is smaller than the sum of its proper divisors (5135607440).

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

3501663400 is a wasteful number, since it uses less digits than its factorization.

3501663400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2063 (or 2054 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 28.

The square root of 3501663400 is about 59174.8544569397. The cubic root of 3501663400 is about 1518.5349746103.

The spelling of 3501663400 in words is "three billion, five hundred one million, six hundred sixty-three thousand, four hundred".