3541920 has 96 divisors (see below), whose sum is σ = 11467008. Its totient is φ = 918528.

The previous prime is 3541919. The next prime is 3541921. The reversal of 3541920 is 291453.

It is an interprime number because it is at equal distance from previous prime (3541919) and next prime (3541921).

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

It is a super-3 number, since 3×3541920³ (a number of 21 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (3541921) 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, 22482 + ... + 22638.

It is an arithmetic number, because the mean of its divisors is an integer number (119448).

Almost surely, 2^3541920 is an apocalyptic number.

3541920 is a gapful number since it is divisible by the number (30) 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 3541920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5733504).

3541920 is an abundant number, since it is smaller than the sum of its proper divisors (7925088).

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

3541920 is a wasteful number, since it uses less digits than its factorization.

3541920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 222 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 3541920 is about 1881.9989373004. The cubic root of 3541920 is about 152.4332055421.

The spelling of 3541920 in words is "three million, five hundred forty-one thousand, nine hundred twenty".