3532420749312 has 576 divisors, whose sum is σ = 12604940712000. Its totient is φ = 928045596672.

The previous prime is 3532420749307. The next prime is 3532420749337. The reversal of 3532420749312 is 2139470242353.

3532420749312 is a `hidden beast` number, since 3 + 5 + 324 + 2 + 0 + 7 + 4 + 9 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 451193014 + ... + 451200842.

It is an arithmetic number, because the mean of its divisors is an integer number (21883577625).

Almost surely, 2^{3532420749312} is an apocalyptic number.

3532420749312 is a gapful number since it is divisible by the number (32) 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 3532420749312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6302470356000).

3532420749312 is an abundant number, since it is smaller than the sum of its proper divisors (9072519962688).

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

3532420749312 is a wasteful number, since it uses less digits than its factorization.

3532420749312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8146 (or 8123 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 45.

The spelling of 3532420749312 in words is "three trillion, five hundred thirty-two billion, four hundred twenty million, seven hundred forty-nine thousand, three hundred twelve".