3331487420352 has 448 divisors, whose sum is σ = 12763174717440. Its totient is φ = 826949025792.

The previous prime is 3331487420341. The next prime is 3331487420383. The reversal of 3331487420352 is 2530247841333.

3331487420352 is a `hidden beast` number, since 3 + 3 + 314 + 87 + 4 + 203 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×3331487420352² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 3331487420298 and 3331487420307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2050093 + ... + 3296339.

It is an arithmetic number, because the mean of its divisors is an integer number (28489229280).

Almost surely, 2^{3331487420352} is an apocalyptic number.

3331487420352 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 3331487420352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6381587358720).

3331487420352 is an abundant number, since it is smaller than the sum of its proper divisors (9431687297088).

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

3331487420352 is a wasteful number, since it uses less digits than its factorization.

3331487420352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1246305 (or 1246289 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 3331487420352 in words is "three trillion, three hundred thirty-one billion, four hundred eighty-seven million, four hundred twenty thousand, three hundred fifty-two".