3946048281840 has 320 divisors, whose sum is σ = 14088778260480. Its totient is φ = 894961751040.

The previous prime is 3946048281797. The next prime is 3946048281859. The reversal of 3946048281840 is 481828406493.

It is a super-2 number, since 2×3946048281840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 553672357 + ... + 553679483.

It is an arithmetic number, because the mean of its divisors is an integer number (44027432064).

Almost surely, 2^{3946048281840} is an apocalyptic number.

3946048281840 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 3946048281840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7044389130240).

3946048281840 is an abundant number, since it is smaller than the sum of its proper divisors (10142729978640).

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

3946048281840 is a wasteful number, since it uses less digits than its factorization.

3946048281840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9660 (or 9654 counting only the distinct ones).

The product of its (nonzero) digits is 10616832, while the sum is 57.

The spelling of 3946048281840 in words is "three trillion, nine hundred forty-six billion, forty-eight million, two hundred eighty-one thousand, eight hundred forty".