3574416384 has 704 divisors, whose sum is σ = 13960212480. Its totient is φ = 875888640.

The previous prime is 3574416337. The next prime is 3574416389. The reversal of 3574416384 is 4836144753.

3574416384 is a `hidden beast` number, since 3 + 5 + 7 + 4 + 4 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (704).

It is a super-3 number, since 3×3574416384³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3574416389) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48964572 + ... + 48964644.

Almost surely, 2^3574416384 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 3574416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6980106240).

3574416384 is an abundant number, since it is smaller than the sum of its proper divisors (10385796096).

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

3574416384 is a wasteful number, since it uses less digits than its factorization.

3574416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 119 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The square root of 3574416384 is about 59786.4230741395. The cubic root of 3574416384 is about 1528.9796811255.

The spelling of 3574416384 in words is "three billion, five hundred seventy-four million, four hundred sixteen thousand, three hundred eighty-four".