3784968 has 112 divisors (see below), whose sum is σ = 11804400. Its totient is φ = 1127520.

The previous prime is 3784967. The next prime is 3784973. The reversal of 3784968 is 8694873.

3784968 = 19³ + 20³ + ... + 62³.

It is a happy number.

It is a super-2 number, since 2×3784968² = 28651965522048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3784967) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 64123 + ... + 64181.

Almost surely, 2^3784968 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 3784968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5902200).

3784968 is an abundant number, since it is smaller than the sum of its proper divisors (8019432).

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

3784968 is a wasteful number, since it uses less digits than its factorization.

3784968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 75 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 3784968 is about 1945.4994217424. The cubic root of 3784968 is about 155.8430373881.

The spelling of 3784968 in words is "three million, seven hundred eighty-four thousand, nine hundred sixty-eight".