3714784416 has 240 divisors, whose sum is σ = 12724677504. Its totient is φ = 1041071616.

The previous prime is 3714784399. The next prime is 3714784421. The reversal of 3714784416 is 6144874173.

3714784416 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3714784416² = 27599246514712922112, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 959701 + ... + 963563.

Almost surely, 2^3714784416 is an apocalyptic number.

3714784416 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 3714784416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6362338752).

3714784416 is an abundant number, since it is smaller than the sum of its proper divisors (9009893088).

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

3714784416 is a wasteful number, since it uses less digits than its factorization.

3714784416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3945 (or 3928 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The square root of 3714784416 is about 60949.0312966498. The cubic root of 3714784416 is about 1548.7377049953.

The spelling of 3714784416 in words is "three billion, seven hundred fourteen million, seven hundred eighty-four thousand, four hundred sixteen".