3503921568 has 384 divisors, whose sum is σ = 11593580544. Its totient is φ = 904780800.

The previous prime is 3503921567. The next prime is 3503921569. The reversal of 3503921568 is 8651293053.

It is an interprime number because it is at equal distance from previous prime (3503921567) and next prime (3503921569).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (3503921567) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34018605 + ... + 34018707.

It is an arithmetic number, because the mean of its divisors is an integer number (30191616).

Almost surely, 2^3503921568 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 3503921568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5796790272).

3503921568 is an abundant number, since it is smaller than the sum of its proper divisors (8089658976).

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

3503921568 is a wasteful number, since it uses less digits than its factorization.

3503921568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 42.

The square root of 3503921568 is about 59193.9318511619. The cubic root of 3503921568 is about 1518.8613309571.

The spelling of 3503921568 in words is "three billion, five hundred three million, nine hundred twenty-one thousand, five hundred sixty-eight".