3362752512 has 288 divisors, whose sum is σ = 11294337600. Its totient is φ = 944013312.

The previous prime is 3362752493. The next prime is 3362752529. The reversal of 3362752512 is 2152572633.

3362752512 is a `hidden beast` number, since 3 + 3 + 627 + 5 + 25 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3362752512² = 22616208913924620288, which contains 22 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8644414 + ... + 8644802.

It is an arithmetic number, because the mean of its divisors is an integer number (39216450).

Almost surely, 2^3362752512 is an apocalyptic number.

3362752512 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 3362752512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5647168800).

3362752512 is an abundant number, since it is smaller than the sum of its proper divisors (7931585088).

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

3362752512 is a wasteful number, since it uses less digits than its factorization.

3362752512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491 (or 468 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

The square root of 3362752512 is about 57989.2447959102. The cubic root of 3362752512 is about 1498.1833580963.

The spelling of 3362752512 in words is "three billion, three hundred sixty-two million, seven hundred fifty-two thousand, five hundred twelve".