3434828265360 has 160 divisors (see below), whose sum is σ = 11840054688000. Its totient is φ = 915259014144.

The previous prime is 3434828265329. The next prime is 3434828265377. The reversal of 3434828265360 is 635628284343.

3434828265360 is a `hidden beast` number, since 3 + 4 + 3 + 4 + 82 + 8 + 26 + 536 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3434828265297 and 3434828265306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2246236 + ... + 3451844.

It is an arithmetic number, because the mean of its divisors is an integer number (74000341800).

Almost surely, 2^{3434828265360} is an apocalyptic number.

3434828265360 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 3434828265360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5920027344000).

3434828265360 is an abundant number, since it is smaller than the sum of its proper divisors (8405226422640).

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

3434828265360 is a wasteful number, since it uses less digits than its factorization.

3434828265360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206950 (or 1206938 counting only the distinct ones).

The product of its (nonzero) digits is 19906560, while the sum is 54.

The spelling of 3434828265360 in words is "three trillion, four hundred thirty-four billion, eight hundred twenty-eight million, two hundred sixty-five thousand, three hundred sixty".