3557952 has 112 divisors (see below), whose sum is σ = 10972800. Its totient is φ = 1128960.

The previous prime is 3557951. The next prime is 3557977. The reversal of 3557952 is 2597553.

3557952 is a `hidden beast` number, since 35 + 579 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a d-powerful number, because it can be written as 3² + 5⁸ + 5⁸ + 7⁷ + 9 + 5⁹ + 2⁴ .

Its product of digits (47250) is a multiple of the sum of its prime divisors (105).

It is not an unprimeable number, because it can be changed into a prime (3557951) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50077 + ... + 50147.

Almost surely, 2^3557952 is an apocalyptic number.

3557952 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 3557952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5486400).

3557952 is an abundant number, since it is smaller than the sum of its proper divisors (7414848).

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

3557952 is a wasteful number, since it uses less digits than its factorization.

3557952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121 (or 105 counting only the distinct ones).

The product of its digits is 47250, while the sum is 36.

The square root of 3557952 is about 1886.2534294203. The cubic root of 3557952 is about 152.6628485238.

The spelling of 3557952 in words is "three million, five hundred fifty-seven thousand, nine hundred fifty-two".