3542500260 has 216 divisors, whose sum is σ = 11761147944. Its totient is φ = 862617600.

The previous prime is 3542500223. The next prime is 3542500279. The reversal of 3542500260 is 620052453.

3542500260 is a `hidden beast` number, since 354 + 2 + 50 + 0 + 260 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 553472676 + 2989027584 = 23526^2 + 54672^2 .

It is a super-3 number, since 3×3542500260³ (a number of 30 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3071844 + ... + 3072996.

It is an arithmetic number, because the mean of its divisors is an integer number (54449759).

Almost surely, 2^3542500260 is an apocalyptic number.

3542500260 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 3542500260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5880573972).

3542500260 is an abundant number, since it is smaller than the sum of its proper divisors (8218647684).

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

3542500260 is a wasteful number, since it uses less digits than its factorization.

3542500260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1295 (or 1277 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 3542500260 is about 59518.9067439919. The cubic root of 3542500260 is about 1524.4152928191.

The spelling of 3542500260 in words is "three billion, five hundred forty-two million, five hundred thousand, two hundred sixty".