3542753214 has 240 divisors, whose sum is σ = 10852346736. Its totient is φ = 849139200.

The previous prime is 3542753189. The next prime is 3542753239. The reversal of 3542753214 is 4123572453.

3542753214 is a `hidden beast` number, since 3 + 542 + 75 + 32 + 14 = 666.

It is an interprime number because it is at equal distance from previous prime (3542753189) and next prime (3542753239).

It is a super-3 number, since 3×3542753214³ (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1133574 + ... + 1136694.

Almost surely, 2^3542753214 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3542753214, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5426173368).

3542753214 is an abundant number, since it is smaller than the sum of its proper divisors (7309593522).

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

3542753214 is a wasteful number, since it uses less digits than its factorization.

3542753214 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3173 (or 3157 counting only the distinct ones).

The product of its digits is 100800, while the sum is 36.

The square root of 3542753214 is about 59521.0316946876. The cubic root of 3542753214 is about 1524.4515758339.

The spelling of 3542753214 in words is "three billion, five hundred forty-two million, seven hundred fifty-three thousand, two hundred fourteen".