3421766867904 has 756 divisors, whose sum is σ = 12945587788224. Its totient is φ = 860073984000.

The previous prime is 3421766867879. The next prime is 3421766867921. The reversal of 3421766867904 is 4097686671243.

It is a happy number.

3421766867904 is a `hidden beast` number, since 3 + 421 + 7 + 6 + 68 + 67 + 90 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 105852064 + ... + 105884384.

Almost surely, 2^{3421766867904} 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 3421766867904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6472793894112).

3421766867904 is an abundant number, since it is smaller than the sum of its proper divisors (9523820920320).

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

3421766867904 is a wasteful number, since it uses less digits than its factorization.

3421766867904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32406 (or 32375 counting only the distinct ones).

The product of its (nonzero) digits is 73156608, while the sum is 63.

The spelling of 3421766867904 in words is "three trillion, four hundred twenty-one billion, seven hundred sixty-six million, eight hundred sixty-seven thousand, nine hundred four".