3734304456960 has 2160 divisors, whose sum is σ = 17854161272640. Its totient is φ = 734910382080.

The previous prime is 3734304456943. The next prime is 3734304456989. The reversal of 3734304456960 is 696544034373.

It is a happy number.

3734304456960 is a `hidden beast` number, since 3 + 7 + 3 + 4 + 30 + 44 + 569 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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 = 3734304456897 and 3734304456906.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 1061785122 + ... + 1061788638.

It is an arithmetic number, because the mean of its divisors is an integer number (8265815404).

Almost surely, 2^{3734304456960} is an apocalyptic number.

3734304456960 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 3734304456960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8927080636320).

3734304456960 is an abundant number, since it is smaller than the sum of its proper divisors (14119856815680).

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

3734304456960 is a wasteful number, since it uses less digits than its factorization.

3734304456960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3594 (or 3564 counting only the distinct ones).

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

The spelling of 3734304456960 in words is "three trillion, seven hundred thirty-four billion, three hundred four million, four hundred fifty-six thousand, nine hundred sixty".