3661973520 has 160 divisors (see below), whose sum is σ = 12070156032. Its totient is φ = 916371456.

The previous prime is 3661973501. The next prime is 3661973527. The reversal of 3661973520 is 253791663.

It is a super-2 number, since 2×3661973520² = 26820100122362380800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3661973527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286302 + ... + 298818.

Almost surely, 2^3661973520 is an apocalyptic number.

3661973520 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 3661973520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035078016).

3661973520 is an abundant number, since it is smaller than the sum of its proper divisors (8408182512).

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

3661973520 is a wasteful number, since it uses less digits than its factorization.

3661973520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12609 (or 12603 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 42.

The square root of 3661973520 is about 60514.2422905550. The cubic root of 3661973520 is about 1541.3634857556.

The spelling of 3661973520 in words is "three billion, six hundred sixty-one million, nine hundred seventy-three thousand, five hundred twenty".