3461121664000 has 2112 divisors, whose sum is σ = 12549716944128. Its totient is φ = 933101568000.

The previous prime is 3461121663977. The next prime is 3461121664019. The reversal of 3461121664000 is 4661211643.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 15247231887 + ... + 15247232113.

Almost surely, 2^{3461121664000} 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 3461121664000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6274858472064).

3461121664000 is an abundant number, since it is smaller than the sum of its proper divisors (9088595280128).

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

3461121664000 is a wasteful number, since it uses less digits than its factorization.

3461121664000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

Adding to 3461121664000 its reverse (4661211643), we get a palindrome (3465782875643).

It can be divided in two parts, 346112 and 1664000, that multiplied together give a cube (575930368000 = 8320³).

The spelling of 3461121664000 in words is "three trillion, four hundred sixty-one billion, one hundred twenty-one million, six hundred sixty-four thousand".