3841694282880 has 640 divisors, whose sum is σ = 14743445143680. Its totient is φ = 949784444928.

The previous prime is 3841694282849. The next prime is 3841694282977. The reversal of 3841694282880 is 882824961483.

3841694282880 is a `hidden beast` number, since 38 + 41 + 69 + 428 + 2 + 8 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a super-2 number, since 2×3841694282880² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 59013229 + ... + 59078291.

It is an arithmetic number, because the mean of its divisors is an integer number (23036633037).

Almost surely, 2^{3841694282880} is an apocalyptic number.

3841694282880 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 3841694282880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7371722571840).

3841694282880 is an abundant number, since it is smaller than the sum of its proper divisors (10901750860800).

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

3841694282880 is a wasteful number, since it uses less digits than its factorization.

3841694282880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65178 (or 65157 counting only the distinct ones).

The product of its (nonzero) digits is 42467328, while the sum is 63.

The spelling of 3841694282880 in words is "three trillion, eight hundred forty-one billion, six hundred ninety-four million, two hundred eighty-two thousand, eight hundred eighty".