3973848840 has 384 divisors, whose sum is σ = 14587503840. Its totient is φ = 931627008.

The previous prime is 3973848811. The next prime is 3973848869. The reversal of 3973848840 is 488483793.

3973848840 is a `hidden beast` number, since 3 + 97 + 38 + 488 + 40 = 666.

3973848840 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (3973848811) and next prime (3973848869).

It can be written as a sum of positive squares in 16 ways, for example, as 236482884 + 3737365956 = 15378^2 + 61134^2 .

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, 9177264 + ... + 9177696.

Almost surely, 2^3973848840 is an apocalyptic number.

3973848840 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 3973848840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7293751920).

3973848840 is an abundant number, since it is smaller than the sum of its proper divisors (10613655000).

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

3973848840 is a wasteful number, since it uses less digits than its factorization.

3973848840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 553 (or 546 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The square root of 3973848840 is about 63038.4711109018. The cubic root of 3973848840 is about 1583.9341206914.

The spelling of 3973848840 in words is "three billion, nine hundred seventy-three million, eight hundred forty-eight thousand, eight hundred forty".