3669931440 has 720 divisors, whose sum is σ = 15778320480. Its totient is φ = 758661120.

The previous prime is 3669931439. The next prime is 3669931493. The reversal of 3669931440 is 441399663.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17392935 + ... + 17393145.

It is an arithmetic number, because the mean of its divisors is an integer number (21914334).

Almost surely, 2^3669931440 is an apocalyptic number.

3669931440 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 3669931440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7889160240).

3669931440 is an abundant number, since it is smaller than the sum of its proper divisors (12108389040).

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

3669931440 is a wasteful number, since it uses less digits than its factorization.

3669931440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 3669931440 is about 60579.9590623830. The cubic root of 3669931440 is about 1542.4792022532.

The spelling of 3669931440 in words is "three billion, six hundred sixty-nine million, nine hundred thirty-one thousand, four hundred forty".