3784408992 has 384 divisors, whose sum is σ = 13728153600. Its totient is φ = 987614208.

The previous prime is 3784408967. The next prime is 3784408993. The reversal of 3784408992 is 2998044873.

3784408992 is a `hidden beast` number, since 37 + 8 + 440 + 89 + 92 = 666.

3784408992 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 Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3784408993) 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, 9985059 + ... + 9985437.

It is an arithmetic number, because the mean of its divisors is an integer number (35750400).

Almost surely, 2^3784408992 is an apocalyptic number.

3784408992 is a gapful number since it is divisible by the number (32) 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 3784408992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864076800).

3784408992 is an abundant number, since it is smaller than the sum of its proper divisors (9943744608).

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

3784408992 is a wasteful number, since it uses less digits than its factorization.

3784408992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 545 (or 531 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The square root of 3784408992 is about 61517.5502763236. The cubic root of 3784408992 is about 1558.3536477421.

It can be divided in two parts, 378 and 4408992, that multiplied together give a square (1666598976 = 40824²).

The spelling of 3784408992 in words is "three billion, seven hundred eighty-four million, four hundred eight thousand, nine hundred ninety-two".