3401668469760 has 2112 divisors, whose sum is σ = 13729604861952. Its totient is φ = 713687040000.

The previous prime is 3401668469747. The next prime is 3401668469807. The reversal of 3401668469760 is 679648661043.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 3401668469694 and 3401668469703.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22527605685 + ... + 22527605835.

Almost surely, 2^{3401668469760} is an apocalyptic number.

3401668469760 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 3401668469760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6864802430976).

3401668469760 is an abundant number, since it is smaller than the sum of its proper divisors (10327936392192).

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

3401668469760 is a wasteful number, since it uses less digits than its factorization.

3401668469760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 60.

The spelling of 3401668469760 in words is "three trillion, four hundred one billion, six hundred sixty-eight million, four hundred sixty-nine thousand, seven hundred sixty".