3973616640 has 528 divisors, whose sum is σ = 16022802432. Its totient is φ = 891813888.

The previous prime is 3973616579. The next prime is 3973616657. The reversal of 3973616640 is 466163793.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31288257 + ... + 31288383.

Almost surely, 2^3973616640 is an apocalyptic number.

3973616640 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 3973616640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8011401216).

3973616640 is an abundant number, since it is smaller than the sum of its proper divisors (12049185792).

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

3973616640 is a wasteful number, since it uses less digits than its factorization.

3973616640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 262 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 3973616640 is about 63036.6293515128. The cubic root of 3973616640 is about 1583.9032692690.

The spelling of 3973616640 in words is "three billion, nine hundred seventy-three million, six hundred sixteen thousand, six hundred forty".