3478657389120 has 560 divisors, whose sum is σ = 13057484964480. Its totient is φ = 877326557184.

The previous prime is 3478657389091. The next prime is 3478657389121. The reversal of 3478657389120 is 219837568743.

3478657389120 is a `hidden beast` number, since 3 + 4 + 7 + 86 + 57 + 389 + 120 = 666.

It is not an unprimeable number, because it can be changed into a prime (3478657389121) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 53025459 + ... + 53091021.

It is a 2-persistent number, because it is pandigital, and so is 2⋅3478657389120 = 6957314778240, but 3⋅3478657389120 = 10435972167360 is not.

Almost surely, 2^{3478657389120} is an apocalyptic number.

3478657389120 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 3478657389120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6528742482240).

3478657389120 is an abundant number, since it is smaller than the sum of its proper divisors (9578827575360).

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

3478657389120 is a wasteful number, since it uses less digits than its factorization.

3478657389120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65704 (or 65685 counting only the distinct ones).

The product of its (nonzero) digits is 60963840, while the sum is 63.

The spelling of 3478657389120 in words is "three trillion, four hundred seventy-eight billion, six hundred fifty-seven million, three hundred eighty-nine thousand, one hundred twenty".