3400612760664 has 192 divisors, whose sum is σ = 10641858776640. Its totient is φ = 960896286720.

The previous prime is 3400612760617. The next prime is 3400612760683. The reversal of 3400612760664 is 4660672160043.

It is a happy number.

3400612760664 is a `hidden beast` number, since 3 + 400 + 6 + 127 + 60 + 6 + 64 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70032234 + ... + 70080774.

It is an arithmetic number, because the mean of its divisors is an integer number (55426347795).

Almost surely, 2^{3400612760664} 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 3400612760664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5320929388320).

3400612760664 is an abundant number, since it is smaller than the sum of its proper divisors (7241246015976).

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

3400612760664 is a wasteful number, since it uses less digits than its factorization.

3400612760664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50090 (or 50083 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 3400612760664 in words is "three trillion, four hundred billion, six hundred twelve million, seven hundred sixty thousand, six hundred sixty-four".