3078954408960 has 352 divisors, whose sum is σ = 10954138939200. Its totient is φ = 820147322880.

The previous prime is 3078954408911. The next prime is 3078954408979. The reversal of 3078954408960 is 698044598703.

3078954408960 is a `hidden beast` number, since 3 + 0 + 7 + 8 + 9 + 544 + 0 + 89 + 6 + 0 = 666.

It is a congruent number.

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, 130072006 + ... + 130095674.

Almost surely, 2^{3078954408960} is an apocalyptic number.

3078954408960 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 3078954408960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5477069469600).

3078954408960 is an abundant number, since it is smaller than the sum of its proper divisors (7875184530240).

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

3078954408960 is a wasteful number, since it uses less digits than its factorization.

3078954408960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24644 (or 24620 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 3078954408960 in words is "three trillion, seventy-eight billion, nine hundred fifty-four million, four hundred eight thousand, nine hundred sixty".