3723328440 has 384 divisors, whose sum is σ = 14074482240. Its totient is φ = 845365248.

The previous prime is 3723328397. The next prime is 3723328447. The reversal of 3723328440 is 448233273.

3723328440 is a `hidden beast` number, since 372 + 3 + 3 + 284 + 4 + 0 = 666.

It is a super-2 number, since 2×3723328440² = 27726349344225667200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3723328395 and 3723328404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3723328447) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4216239 + ... + 4217121.

Almost surely, 2^3723328440 is an apocalyptic number.

3723328440 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 3723328440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7037241120).

3723328440 is an abundant number, since it is smaller than the sum of its proper divisors (10351153800).

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

3723328440 is a wasteful number, since it uses less digits than its factorization.

3723328440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 36.

The square root of 3723328440 is about 61019.0825889738. The cubic root of 3723328440 is about 1549.9241641704.

The spelling of 3723328440 in words is "three billion, seven hundred twenty-three million, three hundred twenty-eight thousand, four hundred forty".