3262120313472 has 192 divisors, whose sum is σ = 9613769124960. Its totient is φ = 1061159823360.

The previous prime is 3262120313443. The next prime is 3262120313483. The reversal of 3262120313472 is 2743130212623.

3262120313472 is a `hidden beast` number, since 3 + 2 + 62 + 120 + 3 + 1 + 3 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×3262120313472³ (a number of 39 digits) contains 333 as substring.

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 23 ways as a sum of consecutive naturals, for example, 57978538 + ... + 58034774.

Almost surely, 2^{3262120313472} is an apocalyptic number.

3262120313472 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 3262120313472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4806884562480).

3262120313472 is an abundant number, since it is smaller than the sum of its proper divisors (6351648811488).

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

3262120313472 is a wasteful number, since it uses less digits than its factorization.

3262120313472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57471 (or 57456 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 36.

The spelling of 3262120313472 in words is "three trillion, two hundred sixty-two billion, one hundred twenty million, three hundred thirteen thousand, four hundred seventy-two".