3649132512 has 192 divisors, whose sum is σ = 11257989120. Its totient is φ = 1148083200.

The previous prime is 3649132507. The next prime is 3649132549. The reversal of 3649132512 is 2152319463.

3649132512 is a `hidden beast` number, since 3 + 6 + 4 + 9 + 132 + 512 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1096483 + ... + 1099805.

It is an arithmetic number, because the mean of its divisors is an integer number (58635360).

Almost surely, 2^3649132512 is an apocalyptic number.

3649132512 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 3649132512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5628994560).

3649132512 is an abundant number, since it is smaller than the sum of its proper divisors (7608856608).

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

3649132512 is a wasteful number, since it uses less digits than its factorization.

3649132512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3400 counting only the distinct ones).

The product of its digits is 38880, while the sum is 36.

The square root of 3649132512 is about 60408.0500595740. The cubic root of 3649132512 is about 1539.5597369685.

It can be divided in two parts, 3649 and 132512, that added together give a square (136161 = 369²).

The spelling of 3649132512 in words is "three billion, six hundred forty-nine million, one hundred thirty-two thousand, five hundred twelve".