3668814240 has 576 divisors, whose sum is σ = 14768490240. Its totient is φ = 763176960.

The previous prime is 3668814239. The next prime is 3668814263. The reversal of 3668814240 is 424188663.

3668814240 is digitally balanced in base 2, because in such base 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 (42).

It is a junction number, because it is equal to n+sod(n) for n = 3668814192 and 3668814201.

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, 51673405 + ... + 51673475.

It is an arithmetic number, because the mean of its divisors is an integer number (25639740).

Almost surely, 2^3668814240 is an apocalyptic number.

3668814240 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 3668814240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7384245120).

3668814240 is an abundant number, since it is smaller than the sum of its proper divisors (11099676000).

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

3668814240 is a wasteful number, since it uses less digits than its factorization.

3668814240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142 (or 101 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 42.

The square root of 3668814240 is about 60570.7374893190. The cubic root of 3668814240 is about 1542.3226659358.

The spelling of 3668814240 in words is "three billion, six hundred sixty-eight million, eight hundred fourteen thousand, two hundred forty".