3914754624 has 315 divisors, whose sum is σ = 12918929331. Its totient is φ = 1171272960.

The previous prime is 3914754601. The next prime is 3914754659. The reversal of 3914754624 is 4264574193.

The square root of 3914754624 is 62568.

It is a perfect power (a square), and thus also a powerful number.

3914754624 is a `hidden beast` number, since 3 + 9 + 14 + 7 + 5 + 4 + 624 = 666.

It is a super-2 number, since 2×3914754624² = 30650607532258762752, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 3914754624.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49553817 + ... + 49553895.

Almost surely, 2^3914754624 is an apocalyptic number.

3914754624 is the 62568-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3914754624

3914754624 is an abundant number, since it is smaller than the sum of its proper divisors (9004174707).

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

3914754624 is an equidigital number, since it uses as much as digits as its factorization.

3914754624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 95 counting only the distinct ones).

The product of its digits is 725760, while the sum is 45.

The cubic root of 3914754624 is about 1576.0434337450.

The spelling of 3914754624 in words is "three billion, nine hundred fourteen million, seven hundred fifty-four thousand, six hundred twenty-four".