34921457343360 has 1536 divisors, whose sum is σ = 147407545958400. Its totient is φ = 7446235889664.

The previous prime is 34921457343347. The next prime is 34921457343371. The reversal of 34921457343360 is 6334375412943.

It is a happy number.

34921457343360 is a `hidden beast` number, since 3 + 4 + 9 + 2 + 1 + 4 + 573 + 4 + 3 + 3 + 60 = 666.

It is a super-2 number, since 2×34921457343360² (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 34921457343297 and 34921457343306.

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, 6080696649 + ... + 6080702391.

It is an arithmetic number, because the mean of its divisors is an integer number (95968454400).

Almost surely, 2^{34921457343360} is an apocalyptic number.

34921457343360 is a gapful number since it is divisible by the number (30) 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 34921457343360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73703772979200).

34921457343360 is an abundant number, since it is smaller than the sum of its proper divisors (112486088615040).

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

34921457343360 is a wasteful number, since it uses less digits than its factorization.

34921457343360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5960 (or 5945 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 34921457343360 in words is "thirty-four trillion, nine hundred twenty-one billion, four hundred fifty-seven million, three hundred forty-three thousand, three hundred sixty".