3519996480 has 1344 divisors, whose sum is σ = 17253143040. Its totient is φ = 656916480.

The previous prime is 3519996479. The next prime is 3519996497. The reversal of 3519996480 is 846999153.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 95135022 + ... + 95135058.

It is an arithmetic number, because the mean of its divisors is an integer number (12837160).

Almost surely, 2^3519996480 is an apocalyptic number.

3519996480 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 3519996480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8626571520).

3519996480 is an abundant number, since it is smaller than the sum of its proper divisors (13733146560).

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

3519996480 is a wasteful number, since it uses less digits than its factorization.

3519996480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The square root of 3519996480 is about 59329.5582319639. The cubic root of 3519996480 is about 1521.1804772441.

It can be divided in two parts, 3519 and 996480, that added together give a palindrome (999999).

The spelling of 3519996480 in words is "three billion, five hundred nineteen million, nine hundred ninety-six thousand, four hundred eighty".