3500064480 has 384 divisors, whose sum is σ = 12802406400. Its totient is φ = 794880000.

The previous prime is 3500064467. The next prime is 3500064511. The reversal of 3500064480 is 844600053.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13944355 + ... + 13944605.

It is an arithmetic number, because the mean of its divisors is an integer number (33339600).

Almost surely, 2^3500064480 is an apocalyptic number.

3500064480 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 3500064480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6401203200).

3500064480 is an abundant number, since it is smaller than the sum of its proper divisors (9302341920).

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

3500064480 is a wasteful number, since it uses less digits than its factorization.

3500064480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 430 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 3500064480 is about 59161.3427839497. The cubic root of 3500064480 is about 1518.3038096547.

The spelling of 3500064480 in words is "three billion, five hundred million, sixty-four thousand, four hundred eighty".