3783723840 has 672 divisors, whose sum is σ = 15377281920. Its totient is φ = 877879296.

The previous prime is 3783723829. The next prime is 3783723851. The reversal of 3783723840 is 483273873.

3783723840 is a `hidden beast` number, since 378 + 3 + 7 + 238 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (3783723829) and next prime (3783723851).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 19206622 + ... + 19206818.

It is an arithmetic number, because the mean of its divisors is an integer number (22882860).

Almost surely, 2^3783723840 is an apocalyptic number.

3783723840 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 3783723840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7688640960).

3783723840 is an abundant number, since it is smaller than the sum of its proper divisors (11593558080).

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

3783723840 is a wasteful number, since it uses less digits than its factorization.

3783723840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 261 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 3783723840 is about 61511.9812719441. The cubic root of 3783723840 is about 1558.2595975164.

The spelling of 3783723840 in words is "three billion, seven hundred eighty-three million, seven hundred twenty-three thousand, eight hundred forty".