3893721520 has 320 divisors, whose sum is σ = 10799308800. Its totient is φ = 1293557760.

The previous prime is 3893721499. The next prime is 3893721521. The reversal of 3893721520 is 251273983.

It is a super-2 number, since 2×3893721520² = 30322134550622220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is not an unprimeable number, because it can be changed into a prime (3893721521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 43749636 + ... + 43749724.

It is an arithmetic number, because the mean of its divisors is an integer number (33747840).

Almost surely, 2^3893721520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3893721520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5399654400).

3893721520 is an abundant number, since it is smaller than the sum of its proper divisors (6905587280).

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

3893721520 is a wasteful number, since it uses less digits than its factorization.

3893721520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 222 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 40.

The square root of 3893721520 is about 62399.6916659049. The cubic root of 3893721520 is about 1573.2157868867.

The spelling of 3893721520 in words is "three billion, eight hundred ninety-three million, seven hundred twenty-one thousand, five hundred twenty".