3661357440 has 192 divisors, whose sum is σ = 12601214640. Its totient is φ = 898904064.

The previous prime is 3661357397. The next prime is 3661357451. The reversal of 3661357440 is 447531663.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9559489 + ... + 9559871.

Almost surely, 2^3661357440 is an apocalyptic number.

3661357440 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 3661357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6300607320).

3661357440 is an abundant number, since it is smaller than the sum of its proper divisors (8939857200).

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

3661357440 is an equidigital number, since it uses as much as digits as its factorization.

3661357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 801 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 39.

The square root of 3661357440 is about 60509.1517045149. The cubic root of 3661357440 is about 1541.2770427061.

The spelling of 3661357440 in words is "three billion, six hundred sixty-one million, three hundred fifty-seven thousand, four hundred forty".