3538464 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1075200.

The previous prime is 3538453. The next prime is 3538477. The reversal of 3538464 is 4648353.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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, 86284 + ... + 86324.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 2^3538464 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 3538464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3538464 is an abundant number, since it is smaller than the sum of its proper divisors (6622176).

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

3538464 is a wasteful number, since it uses less digits than its factorization.

3538464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 106 counting only the distinct ones).

The product of its digits is 34560, while the sum is 33.

The square root of 3538464 is about 1881.0805405405. The cubic root of 3538464 is about 152.3836109159.

The spelling of 3538464 in words is "three million, five hundred thirty-eight thousand, four hundred sixty-four".