3252440056320 has 1440 divisors, whose sum is σ = 14206283739648. Its totient is φ = 681605922816.

The previous prime is 3252440056241. The next prime is 3252440056337. The reversal of 3252440056320 is 236500442523.

3252440056320 is a `hidden beast` number, since 3 + 2 + 52 + 4 + 40 + 0 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2450971497 + ... + 2450972823.

Almost surely, 2^{3252440056320} is an apocalyptic number.

3252440056320 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 3252440056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7103141869824).

3252440056320 is an abundant number, since it is smaller than the sum of its proper divisors (10953843683328).

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

3252440056320 is a wasteful number, since it uses less digits than its factorization.

3252440056320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1550 (or 1524 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 3252440056320 its reverse (236500442523), we get a palindrome (3488940498843).

The spelling of 3252440056320 in words is "three trillion, two hundred fifty-two billion, four hundred forty million, fifty-six thousand, three hundred twenty".