3973944240 has 960 divisors, whose sum is σ = 17548876800. Its totient is φ = 815173632.

The previous prime is 3973944223. The next prime is 3973944257. The reversal of 3973944240 is 424493793.

It is an interprime number because it is at equal distance from previous prime (3973944223) and next prime (3973944257).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74980054 + ... + 74980106.

It is an arithmetic number, because the mean of its divisors is an integer number (18280080).

Almost surely, 2^3973944240 is an apocalyptic number.

3973944240 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 3973944240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8774438400).

3973944240 is an abundant number, since it is smaller than the sum of its proper divisors (13574932560).

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

3973944240 is a wasteful number, since it uses less digits than its factorization.

3973944240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The square root of 3973944240 is about 63039.2277871485. The cubic root of 3973944240 is about 1583.9467957336.

The spelling of 3973944240 in words is "three billion, nine hundred seventy-three million, nine hundred forty-four thousand, two hundred forty".