3517142920 has 64 divisors (see below), whose sum is σ = 8493977520. Its totient is φ = 1305944064.

The previous prime is 3517142899. The next prime is 3517142927. The reversal of 3517142920 is 292417153.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 2825347716 + 691795204 = 53154^2 + 26302^2 .

It is a super-2 number, since 2×3517142920² = 24740588639412252800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (3517142927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14214 + ... + 85066.

Almost surely, 2^3517142920 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 3517142920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4246988760).

3517142920 is an abundant number, since it is smaller than the sum of its proper divisors (4976834600).

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

3517142920 is a wasteful number, since it uses less digits than its factorization.

3517142920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70954 (or 70950 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 34.

The square root of 3517142920 is about 59305.5049721356. The cubic root of 3517142920 is about 1520.7693070154.

The spelling of 3517142920 in words is "three billion, five hundred seventeen million, one hundred forty-two thousand, nine hundred twenty".