3873925396440 has 384 divisors, whose sum is σ = 14231729678400. Its totient is φ = 905263349760.

The previous prime is 3873925396399. The next prime is 3873925396457. The reversal of 3873925396440 is 446935293783.

3873925396440 is a `hidden beast` number, since 3 + 8 + 7 + 3 + 92 + 539 + 6 + 4 + 4 + 0 = 666.

It is a Cunningham number, because it is equal to 1968229²-1.

It is a super-2 number, since 2×3873925396440² (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 95 ways as a sum of consecutive naturals, for example, 70828944 + ... + 70883616.

Almost surely, 2^{3873925396440} is an apocalyptic number.

3873925396440 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 3873925396440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7115864839200).

3873925396440 is an abundant number, since it is smaller than the sum of its proper divisors (10357804281960).

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

3873925396440 is a wasteful number, since it uses less digits than its factorization.

3873925396440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55347 (or 55340 counting only the distinct ones).

The product of its (nonzero) digits is 117573120, while the sum is 63.

The spelling of 3873925396440 in words is "three trillion, eight hundred seventy-three billion, nine hundred twenty-five million, three hundred ninety-six thousand, four hundred forty".