3854770974720 has 1456 divisors, whose sum is σ = 14851559485440. Its totient is φ = 957139255296.

The previous prime is 3854770974697. The next prime is 3854770974749. The reversal of 3854770974720 is 274790774583.

3854770974720 is a `hidden beast` number, since 3 + 8 + 5 + 4 + 7 + 70 + 97 + 472 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 30352527297 + ... + 30352527423.

Almost surely, 2^{3854770974720} is an apocalyptic number.

3854770974720 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 3854770974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7425779742720).

3854770974720 is an abundant number, since it is smaller than the sum of its proper divisors (10996788510720).

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

3854770974720 is a wasteful number, since it uses less digits than its factorization.

3854770974720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 63.

The spelling of 3854770974720 in words is "three trillion, eight hundred fifty-four billion, seven hundred seventy million, nine hundred seventy-four thousand, seven hundred twenty".