3661433760 has 96 divisors (see below), whose sum is σ = 12140573760. Its totient is φ = 924991488.

The previous prime is 3661433759. The next prime is 3661433801. The reversal of 3661433760 is 673341663.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 191617 + ... + 209856.

It is an arithmetic number, because the mean of its divisors is an integer number (126464310).

Almost surely, 2^3661433760 is an apocalyptic number.

3661433760 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3661433760 is an abundant number, since it is smaller than the sum of its proper divisors (8479140000).

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

3661433760 is a wasteful number, since it uses less digits than its factorization.

3661433760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401510 (or 401502 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 39.

The square root of 3661433760 is about 60509.7823496334. The cubic root of 3661433760 is about 1541.2877517986.

The spelling of 3661433760 in words is "three billion, six hundred sixty-one million, four hundred thirty-three thousand, seven hundred sixty".