3435309166464 has 768 divisors, whose sum is σ = 12778930137600. Its totient is φ = 902264832000.

The previous prime is 3435309166451. The next prime is 3435309166483. The reversal of 3435309166464 is 4646619035343.

3435309166464 is a `hidden beast` number, since 3 + 4 + 3 + 5 + 30 + 91 + 66 + 464 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 3435309166464.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 123776589 + ... + 123804339.

It is an arithmetic number, because the mean of its divisors is an integer number (16639231950).

Almost surely, 2^{3435309166464} is an apocalyptic number.

3435309166464 is a gapful number since it is divisible by the number (34) 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 3435309166464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389465068800).

3435309166464 is an abundant number, since it is smaller than the sum of its proper divisors (9343620971136).

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

3435309166464 is a wasteful number, since it uses less digits than its factorization.

3435309166464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27848 (or 27823 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 54.

The spelling of 3435309166464 in words is "three trillion, four hundred thirty-five billion, three hundred nine million, one hundred sixty-six thousand, four hundred sixty-four".