3392117725248 has 840 divisors, whose sum is σ = 11903613077664. Its totient is φ = 952197120000.

The previous prime is 3392117725201. The next prime is 3392117725301. The reversal of 3392117725248 is 8425277112933.

3392117725248 is a `hidden beast` number, since 3 + 39 + 2 + 1 + 17 + 72 + 524 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 3392117725194 and 3392117725203.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 5291915008 + ... + 5291915648.

Almost surely, 2^{3392117725248} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3392117725248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5951806538832).

3392117725248 is an abundant number, since it is smaller than the sum of its proper divisors (8511495352416).

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

3392117725248 is a wasteful number, since it uses less digits than its factorization.

3392117725248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1013 (or 987 counting only the distinct ones).

The product of its digits is 5080320, while the sum is 54.

The spelling of 3392117725248 in words is "three trillion, three hundred ninety-two billion, one hundred seventeen million, seven hundred twenty-five thousand, two hundred forty-eight".