3723084000 has 240 divisors, whose sum is σ = 13666148496. Its totient is φ = 992736000.

The previous prime is 3723083983. The next prime is 3723084011. The reversal of 3723084000 is 4803273.

3723084000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×3723084000² = 27722708942112000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

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, 318255 + ... + 329745.

Almost surely, 2^3723084000 is an apocalyptic number.

3723084000 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 3723084000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6833074248).

3723084000 is an abundant number, since it is smaller than the sum of its proper divisors (9943064496).

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

3723084000 is a wasteful number, since it uses less digits than its factorization.

3723084000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11528 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 3723084000 is about 61017.0795761318. The cubic root of 3723084000 is about 1549.8902454370.

Adding to 3723084000 its reverse (4803273), we get a palindrome (3727887273).

The spelling of 3723084000 in words is "three billion, seven hundred twenty-three million, eighty-four thousand".