3646512 has 80 divisors (see below), whose sum is σ = 10951680. Its totient is φ = 1159488.

The previous prime is 3646507. The next prime is 3646523. The reversal of 3646512 is 2156463.

3646512 is a `hidden beast` number, since 3 + 6 + 4 + 651 + 2 = 666.

It is a super-2 number, since 2×3646512² = 26594099532288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9753 + ... + 10119.

It is an arithmetic number, because the mean of its divisors is an integer number (136896).

Almost surely, 2^3646512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3646512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5475840).

3646512 is an abundant number, since it is smaller than the sum of its proper divisors (7305168).

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

3646512 is a wasteful number, since it uses less digits than its factorization.

3646512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407 (or 395 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 3646512 is about 1909.5842479451. The cubic root of 3646512 is about 153.9191119599.

It can be divided in two parts, 36465 and 12, that multiplied together give a triangular number (437580 = T₉₃₅).

The spelling of 3646512 in words is "three million, six hundred forty-six thousand, five hundred twelve".