3545781120 has 576 divisors, whose sum is σ = 15101283600. Its totient is φ = 761757696.

The previous prime is 3545781119. The next prime is 3545781167. The reversal of 3545781120 is 211875453.

3545781120 is a `hidden beast` number, since 3 + 5 + 457 + 81 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a congruent number.

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 71 ways as a sum of consecutive naturals, for example, 4797711 + ... + 4798449.

Almost surely, 2^3545781120 is an apocalyptic number.

3545781120 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 3545781120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7550641800).

3545781120 is an abundant number, since it is smaller than the sum of its proper divisors (11555502480).

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

3545781120 is a wasteful number, since it uses less digits than its factorization.

3545781120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795 (or 773 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 3545781120 is about 59546.4618596269. The cubic root of 3545781120 is about 1524.8857562003.

The spelling of 3545781120 in words is "three billion, five hundred forty-five million, seven hundred eighty-one thousand, one hundred twenty".