3246077952 has 576 divisors, whose sum is σ = 11447654400. Its totient is φ = 875888640.

The previous prime is 3246077927. The next prime is 3246077987. The reversal of 3246077952 is 2597706423.

3246077952 is a `hidden beast` number, since 32 + 4 + 607 + 7 + 9 + 5 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 3246077898 and 3246077907.

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, 104712177 + ... + 104712207.

It is an arithmetic number, because the mean of its divisors is an integer number (19874400).

Almost surely, 2^3246077952 is an apocalyptic number.

3246077952 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 3246077952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5723827200).

3246077952 is an abundant number, since it is smaller than the sum of its proper divisors (8201576448).

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

3246077952 is a wasteful number, since it uses less digits than its factorization.

3246077952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 91 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The square root of 3246077952 is about 56974.3622342541. The cubic root of 3246077952 is about 1480.6519455467.

The spelling of 3246077952 in words is "three billion, two hundred forty-six million, seventy-seven thousand, nine hundred fifty-two".