3514242816 has 216 divisors, whose sum is σ = 11650227680. Its totient is φ = 997982208.

The previous prime is 3514242773. The next prime is 3514242821. The reversal of 3514242816 is 6182424153.

It is a happy number.

3514242816 is a `hidden beast` number, since 351 + 4 + 24 + 281 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3112140 + ... + 3113268.

Almost surely, 2^3514242816 is an apocalyptic number.

3514242816 is a gapful number since it is divisible by the number (36) 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 3514242816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5825113840).

3514242816 is an abundant number, since it is smaller than the sum of its proper divisors (8135984864).

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

3514242816 is a wasteful number, since it uses less digits than its factorization.

3514242816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1351 (or 1334 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 3514242816 is about 59281.0493834244. The cubic root of 3514242816 is about 1520.3512023188.

Adding to 3514242816 its reverse (6182424153), we get a palindrome (9696666969).

The spelling of 3514242816 in words is "three billion, five hundred fourteen million, two hundred forty-two thousand, eight hundred sixteen".