3454504796160 has 1920 divisors, whose sum is σ = 14839768944000. Its totient is φ = 761014517760.

The previous prime is 3454504796153. The next prime is 3454504796213. The reversal of 3454504796160 is 616974054543.

It is a happy number.

3454504796160 is a `hidden beast` number, since 3 + 4 + 5 + 4 + 5 + 0 + 479 + 6 + 160 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 = 3454504796097 and 3454504796106.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 119120855026 + ... + 119120855054.

It is an arithmetic number, because the mean of its divisors is an integer number (7729046325).

Almost surely, 2^{3454504796160} is an apocalyptic number.

3454504796160 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 3454504796160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7419884472000).

3454504796160 is an abundant number, since it is smaller than the sum of its proper divisors (11385264147840).

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

3454504796160 is an frugal number, since it uses more digits than its factorization.

3454504796160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 3454504796160 in words is "three trillion, four hundred fifty-four billion, five hundred four million, seven hundred ninety-six thousand, one hundred sixty".