3903552 has 84 divisors (see below), whose sum is σ = 11649456. Its totient is φ = 1296000.

The previous prime is 3903547. The next prime is 3903563. The reversal of 3903552 is 2553093.

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 11 ways as a sum of consecutive naturals, for example, 15427 + ... + 15677.

It is an arithmetic number, because the mean of its divisors is an integer number (138684).

Almost surely, 2^3903552 is an apocalyptic number.

3903552 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 3903552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5824728).

3903552 is an abundant number, since it is smaller than the sum of its proper divisors (7745904).

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

3903552 is an equidigital number, since it uses as much as digits as its factorization.

3903552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 3903552 is about 1975.7408736978. The cubic root of 3903552 is about 157.4538640379.

It can be divided in two parts, 390 and 3552, that multiplied together give a triangular number (1385280 = T₁₆₆₄).

The spelling of 3903552 in words is "three million, nine hundred three thousand, five hundred fifty-two".