3445632000 has 352 divisors, whose sum is σ = 12747733440. Its totient is φ = 917913600.

The previous prime is 3445631933. The next prime is 3445632019. The reversal of 3445632000 is 2365443.

3445632000 is a `hidden beast` number, since 3 + 4 + 456 + 3 + 200 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3455502 + ... + 3456498.

Almost surely, 2^3445632000 is an apocalyptic number.

3445632000 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 3445632000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6373866720).

3445632000 is an abundant number, since it is smaller than the sum of its proper divisors (9302101440).

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

3445632000 is an equidigital number, since it uses as much as digits as its factorization.

3445632000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1041 (or 1007 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

The square root of 3445632000 is about 58699.5059604423. The cubic root of 3445632000 is about 1510.3918401838.

Adding to 3445632000 its reverse (2365443), we get a palindrome (3447997443).

The spelling of 3445632000 in words is "three billion, four hundred forty-five million, six hundred thirty-two thousand".