3416758465428 has 1296 divisors, whose sum is σ = 12053593423872. Its totient is φ = 798016665600.

The previous prime is 3416758465339. The next prime is 3416758465453. The reversal of 3416758465428 is 8245648576143.

3416758465428 is a `hidden beast` number, since 3 + 4 + 1 + 6 + 7 + 5 + 84 + 6 + 542 + 8 = 666.

3416758465428 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×3416758465428² (a number of 26 digits) contains 22 as substring.

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 431 ways as a sum of consecutive naturals, for example, 26903609901 + ... + 26903610027.

Almost surely, 2^{3416758465428} 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 3416758465428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6026796711936).

3416758465428 is an abundant number, since it is smaller than the sum of its proper divisors (8636834958444).

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

3416758465428 is a wasteful number, since it uses less digits than its factorization.

3416758465428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 281 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 3416758465428 in words is "three trillion, four hundred sixteen billion, seven hundred fifty-eight million, four hundred sixty-five thousand, four hundred twenty-eight".