1611332352 has 360 divisors, whose sum is σ = 5822996256. Its totient is φ = 432635904.

The previous prime is 1611332347. The next prime is 1611332381. The reversal of 1611332352 is 2532331161.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 2467258 + ... + 2467910.

Almost surely, 2^1611332352 is an apocalyptic number.

1611332352 is a gapful number since it is divisible by the number (12) 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 1611332352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2911498128).

1611332352 is an abundant number, since it is smaller than the sum of its proper divisors (4211663904).

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

1611332352 is an equidigital number, since it uses as much as digits as its factorization.

1611332352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 682 counting only the distinct ones).

The product of its digits is 3240, while the sum is 27.

The square root of 1611332352 is about 40141.4044597346. The cubic root of 1611332352 is about 1172.3619347556.

The spelling of 1611332352 in words is "one billion, six hundred eleven million, three hundred thirty-two thousand, three hundred fifty-two".