3973853520 has 800 divisors, whose sum is σ = 17785861632. Its totient is φ = 799248384.

The previous prime is 3973853509. The next prime is 3973853551. The reversal of 3973853520 is 253583793.

3973853520 is a `hidden beast` number, since 3 + 9 + 73 + 8 + 53 + 520 = 666.

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 159 ways as a sum of consecutive naturals, for example, 13562494 + ... + 13562786.

Almost surely, 2^3973853520 is an apocalyptic number.

3973853520 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 3973853520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8892930816).

3973853520 is an abundant number, since it is smaller than the sum of its proper divisors (13812008112).

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

3973853520 is a wasteful number, since it uses less digits than its factorization.

3973853520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 3973853520 is about 63038.5082310805. The cubic root of 3973853520 is about 1583.9347424906.

The spelling of 3973853520 in words is "three billion, nine hundred seventy-three million, eight hundred fifty-three thousand, five hundred twenty".