3553952 has 48 divisors (see below), whose sum is σ = 7620480. Its totient is φ = 1625088.

The previous prime is 3553943. The next prime is 3553967. The reversal of 3553952 is 2593553.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a d-powerful number, because it can be written as 3⁵ + 5⁵ + 5⁵ + 3¹³ + 9 + 5⁹ + 2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25499 + ... + 25637.

It is an arithmetic number, because the mean of its divisors is an integer number (158760).

Almost surely, 2^3553952 is an apocalyptic number.

3553952 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 3553952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3810240).

3553952 is an abundant number, since it is smaller than the sum of its proper divisors (4066528).

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

3553952 is a wasteful number, since it uses less digits than its factorization.

3553952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 205 counting only the distinct ones).

The product of its digits is 20250, while the sum is 32.

The square root of 3553952 is about 1885.1928283335. The cubic root of 3553952 is about 152.6056170625.

The spelling of 3553952 in words is "three million, five hundred fifty-three thousand, nine hundred fifty-two".