3466820528640 has 1600 divisors, whose sum is σ = 14687595648000. Its totient is φ = 781117489152.

The previous prime is 3466820528609. The next prime is 3466820528693. The reversal of 3466820528640 is 468250286643.

It is a happy number.

3466820528640 is a `hidden beast` number, since 34 + 6 + 6 + 8 + 20 + 528 + 64 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5618833612 + ... + 5618834228.

It is an arithmetic number, because the mean of its divisors is an integer number (9179747280).

Almost surely, 2^{3466820528640} is an apocalyptic number.

3466820528640 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 3466820528640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7343797824000).

3466820528640 is an abundant number, since it is smaller than the sum of its proper divisors (11220775119360).

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

3466820528640 is an frugal number, since it uses more digits than its factorization.

3466820528640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 13271040, while the sum is 54.

The spelling of 3466820528640 in words is "three trillion, four hundred sixty-six billion, eight hundred twenty million, five hundred twenty-eight thousand, six hundred forty".