3541950720 has 720 divisors, whose sum is σ = 15800937600. Its totient is φ = 735989760.

The previous prime is 3541950703. The next prime is 3541950739. The reversal of 3541950720 is 270591453.

3541950720 is a `hidden beast` number, since 3 + 541 + 95 + 0 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a super-3 number, since 3×3541950720³ (a number of 30 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 321995515 + ... + 321995525.

Almost surely, 2^3541950720 is an apocalyptic number.

3541950720 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 3541950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7900468800).

3541950720 is an abundant number, since it is smaller than the sum of its proper divisors (12258986880).

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

3541950720 is an frugal number, since it uses more digits than its factorization.

3541950720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 3541950720 is about 59514.2900486933. The cubic root of 3541950720 is about 1524.3364623848.

The spelling of 3541950720 in words is "three billion, five hundred forty-one million, nine hundred fifty thousand, seven hundred twenty".