3435371278416 has 960 divisors, whose sum is σ = 12972129730560. Its totient is φ = 822721536000.

The previous prime is 3435371278357. The next prime is 3435371278433. The reversal of 3435371278416 is 6148721735343.

3435371278416 is a `hidden beast` number, since 3 + 4 + 3 + 537 + 1 + 27 + 84 + 1 + 6 = 666.

It is a congruent number.

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, 605989630 + ... + 605995298.

It is an arithmetic number, because the mean of its divisors is an integer number (13512635136).

Almost surely, 2^{3435371278416} is an apocalyptic number.

3435371278416 is a gapful number since it is divisible by the number (36) 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 3435371278416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6486064865280).

3435371278416 is an abundant number, since it is smaller than the sum of its proper divisors (9536758452144).

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

3435371278416 is a wasteful number, since it uses less digits than its factorization.

3435371278416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5807 counting only the distinct ones).

The product of its digits is 10160640, while the sum is 54.

The spelling of 3435371278416 in words is "three trillion, four hundred thirty-five billion, three hundred seventy-one million, two hundred seventy-eight thousand, four hundred sixteen".