3457269781056 has 840 divisors, whose sum is σ = 13514659361280. Its totient is φ = 863801874432.

The previous prime is 3457269780929. The next prime is 3457269781087. The reversal of 3457269781056 is 6501879627543.

3457269781056 is a `hidden beast` number, since 3 + 4 + 572 + 6 + 9 + 7 + 8 + 1 + 0 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3457269780984 and 3457269781002.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 62714401 + ... + 62769503.

It is an arithmetic number, because the mean of its divisors is an integer number (16088880192).

It is a 1-persistent number, because it is pandigital, but 2⋅3457269781056 = 6914539562112 is not.

Almost surely, 2^{3457269781056} is an apocalyptic number.

3457269781056 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 3457269781056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6757329680640).

3457269781056 is an abundant number, since it is smaller than the sum of its proper divisors (10057389580224).

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

3457269781056 is a wasteful number, since it uses less digits than its factorization.

3457269781056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55173 (or 55147 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 3457269781056 in words is "three trillion, four hundred fifty-seven billion, two hundred sixty-nine million, seven hundred eighty-one thousand, fifty-six".