3784999680 has 864 divisors, whose sum is σ = 17356405248. Its totient is φ = 737280000.

The previous prime is 3784999609. The next prime is 3784999681. The reversal of 3784999680 is 869994873.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3784999681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15079555 + ... + 15079805.

It is an arithmetic number, because the mean of its divisors is an integer number (20088432).

Almost surely, 2^3784999680 is an apocalyptic number.

3784999680 is a gapful number since it is divisible by the number (30) 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 3784999680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8678202624).

3784999680 is an abundant number, since it is smaller than the sum of its proper divisors (13571405568).

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

3784999680 is a wasteful number, since it uses less digits than its factorization.

3784999680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 23514624, while the sum is 63.

The square root of 3784999680 is about 61522.3510604073. The cubic root of 3784999680 is about 1558.4347218644.

The spelling of 3784999680 in words is "three billion, seven hundred eighty-four million, nine hundred ninety-nine thousand, six hundred eighty".