3420648427392 has 768 divisors, whose sum is σ = 12679915392000. Its totient is φ = 888067031040.

The previous prime is 3420648427381. The next prime is 3420648427393. The reversal of 3420648427392 is 2937248460243.

3420648427392 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 6 + 484 + 2 + 73 + 92 = 666.

It is a super-3 number, since 3×3420648427392³ (a number of 39 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3420648427393) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 202744717 + ... + 202761587.

It is an arithmetic number, because the mean of its divisors is an integer number (16510306500).

Almost surely, 2^{3420648427392} is an apocalyptic number.

3420648427392 is a gapful number since it is divisible by the number (32) 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 3420648427392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6339957696000).

3420648427392 is an abundant number, since it is smaller than the sum of its proper divisors (9259266964608).

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

3420648427392 is a wasteful number, since it uses less digits than its factorization.

3420648427392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16964 (or 16929 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 54.

The spelling of 3420648427392 in words is "three trillion, four hundred twenty billion, six hundred forty-eight million, four hundred twenty-seven thousand, three hundred ninety-two".