3662464 has 64 divisors (see below), whose sum is σ = 8225280. Its totient is φ = 1612800.

The previous prime is 3662453. The next prime is 3662467. The reversal of 3662464 is 4642663.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3662467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51549 + ... + 51619.

It is an arithmetic number, because the mean of its divisors is an integer number (128520).

Almost surely, 2^3662464 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 3662464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4112640).

3662464 is an abundant number, since it is smaller than the sum of its proper divisors (4562816).

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

3662464 is a wasteful number, since it uses less digits than its factorization.

3662464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 117 counting only the distinct ones).

The product of its digits is 20736, while the sum is 31.

The square root of 3662464 is about 1913.7565153384. The cubic root of 3662464 is about 154.1432298761.

It can be divided in two parts, 36 and 62464, that added together give a square (62500 = 250²).

The spelling of 3662464 in words is "three million, six hundred sixty-two thousand, four hundred sixty-four".