3662963520 has 112 divisors (see below), whose sum is σ = 11715219648. Its totient is φ = 969625600.

The previous prime is 3662963501. The next prime is 3662963527. The reversal of 3662963520 is 253692663.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662963527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117595 + ... + 145445.

Almost surely, 2^3662963520 is an apocalyptic number.

3662963520 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 3662963520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5857609824).

3662963520 is an abundant number, since it is smaller than the sum of its proper divisors (8052256128).

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

3662963520 is a wasteful number, since it uses less digits than its factorization.

3662963520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28008 (or 27998 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 42.

The square root of 3662963520 is about 60522.4216303347. The cubic root of 3662963520 is about 1541.5023737397.

The spelling of 3662963520 in words is "three billion, six hundred sixty-two million, nine hundred sixty-three thousand, five hundred twenty".