3392512820640 has 216 divisors, whose sum is σ = 11962451654244. Its totient is φ = 875486822400.

The previous prime is 3392512820597. The next prime is 3392512820647. The reversal of 3392512820640 is 460282152933.

3392512820640 is a `hidden beast` number, since 3 + 3 + 92 + 512 + 8 + 2 + 0 + 6 + 40 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3392124099984 + 388720656 = 1841772^2 + 19716^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (3392512820647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 158080 + ... + 2609600.

Almost surely, 2^{3392512820640} is an apocalyptic number.

3392512820640 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 3392512820640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5981225827122).

3392512820640 is an abundant number, since it is smaller than the sum of its proper divisors (8569938833604).

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

3392512820640 is a wasteful number, since it uses less digits than its factorization.

3392512820640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2451604 (or 2451562 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 3392512820640 in words is "three trillion, three hundred ninety-two billion, five hundred twelve million, eight hundred twenty thousand, six hundred forty".