3962027520 has 560 divisors, whose sum is σ = 15618165552. Its totient is φ = 955514880.

The previous prime is 3962027501. The next prime is 3962027521. The reversal of 3962027520 is 257202693.

3962027520 is a `hidden beast` number, since 3 + 9 + 620 + 2 + 7 + 5 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962027521) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 20528544 + ... + 20528736.

Almost surely, 2^3962027520 is an apocalyptic number.

3962027520 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 3962027520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7809082776).

3962027520 is an abundant number, since it is smaller than the sum of its proper divisors (11656138032).

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

3962027520 is an equidigital number, since it uses as much as digits as its factorization.

3962027520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 245 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 3962027520 is about 62944.6385326026. The cubic root of 3962027520 is about 1582.3619429887.

The spelling of 3962027520 in words is "three billion, nine hundred sixty-two million, twenty-seven thousand, five hundred twenty".