3361672440 has 288 divisors, whose sum is σ = 12804480000. Its totient is φ = 762628608.

The previous prime is 3361672417. The next prime is 3361672453. The reversal of 3361672440 is 442761633.

It is a happy number.

3361672440 is a `hidden beast` number, since 33 + 616 + 7 + 2 + 4 + 4 + 0 = 666.

3361672440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3361672440² = 22601683187711107200, 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 = 3361672395 and 3361672404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2627721 + ... + 2628999.

It is an arithmetic number, because the mean of its divisors is an integer number (44460000).

Almost surely, 2^3361672440 is an apocalyptic number.

3361672440 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 3361672440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6402240000).

3361672440 is an abundant number, since it is smaller than the sum of its proper divisors (9442807560).

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

3361672440 is a wasteful number, since it uses less digits than its factorization.

3361672440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1459 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The square root of 3361672440 is about 57979.9313555992. The cubic root of 3361672440 is about 1498.0229419726.

The spelling of 3361672440 in words is "three billion, three hundred sixty-one million, six hundred seventy-two thousand, four hundred forty".