3399645406248 has 1024 divisors, whose sum is σ = 13230895104000. Its totient is φ = 782375583744.

The previous prime is 3399645406219. The next prime is 3399645406303. The reversal of 3399645406248 is 8426045469933.

3399645406248 is a `hidden beast` number, since 3 + 3 + 9 + 9 + 64 + 540 + 6 + 24 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 298392040 + ... + 298403432.

It is an arithmetic number, because the mean of its divisors is an integer number (12920796000).

Almost surely, 2^{3399645406248} is an apocalyptic number.

3399645406248 is a gapful number since it is divisible by the number (38) 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 3399645406248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6615447552000).

3399645406248 is an abundant number, since it is smaller than the sum of its proper divisors (9831249697752).

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

3399645406248 is a wasteful number, since it uses less digits than its factorization.

3399645406248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11511 (or 11501 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 63.

The spelling of 3399645406248 in words is "three trillion, three hundred ninety-nine billion, six hundred forty-five million, four hundred six thousand, two hundred forty-eight".